{"id":13666,"date":"2023-01-25T00:05:00","date_gmt":"2023-01-24T18:35:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=13666"},"modified":"2023-01-25T15:24:00","modified_gmt":"2023-01-25T09:54:00","slug":"gmat-problem-solving-3-mistakes-you-must-avoid-in-time-and-work-questions","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/gmat-problem-solving-3-mistakes-you-must-avoid-in-time-and-work-questions\/","title":{"rendered":"GMAT Problem Solving &#8211; 3 mistakes you must avoid in Time and Work questions"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">10<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<p>GMAT problem solving questions on Time and Work can be solved easily and quickly provided you do not make mistakes while solving them. In the last article, we compared the conventional methods of solving Time and work questions with the LCM method and the efficiency (work rate) method.&nbsp;If you haven&#8217;t read the previous article on <a href=\"https:\/\/e-gmat.com\/blogs\/quickly-solve-gmat-quant-questions-on-time-and-work-work-time-lcm-method\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">how to quickly solve time and work questions<\/a> we recommend you read that first before going through this article.<\/p>\n\n\n\n<p>Now that you have read and understood the LCM method and efficiency (work rate) method, it&#8217;s time to learn about the 3 deadly mistakes and how you can avoid them while attempting Time and Work questions in GMAT Problem solving or data sufficiency.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"509\" height=\"240\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions.png\" alt=\"gmat problem solving time and work questions\" class=\"wp-image-13669\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions.png 509w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-300x141.png 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><\/figure>\n\n\n\n<p>In this second article of the series on Time and Work, we&#8217;ll look<\/p>\n\n\n\n<ul><li>Objective<\/li><li>Mistake number 1 &#8211; incorrect use of the relationship between efficiency and time taken<\/li><li>Mistake number 2 &#8211; The incorrect approach<\/li><li>Mistake number 3 &#8211; incorrect interpretation of the question statement<\/li><li>Takeaways<\/li><li>Practice questions on Time and Work<\/li><\/ul>\n\n\n\n<h2 id=\"h-objective-gmat-problem-solving-time-and-work\">Objective | GMAT Problem Solving | Time and Work<\/h2>\n\n\n\n<p>The primary objective of this article is to cite 3 most common mistakes made by students while attempting Time and Work questions in GMAT problem solving. We will demonstrate them with different examples of each type. For students\u2019 convenience, we have referred to examples similar to what is provided in the official resources.<\/p>\n\n\n\n<h2 id=\"h-mistake-number-1-incorrect-use-of-the-relationship-between-efficiency-and-time-taken\">Mistake number 1 &#8211; Incorrect use of the relationship between efficiency and time taken<\/h2>\n\n\n\n<p>Let&#8217;s understand this mistake with the help of 2 illustrative examples<\/p>\n\n\n\n<p><strong>Example &#8211; 1<\/strong><\/p>\n\n\n\n<p><strong>Six machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 27 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"512\" height=\"241\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-1.png\" alt=\"gmat problem solving time and work questions\" class=\"wp-image-13671\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-1.png 512w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-1-300x141.png 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-1-510x241.png 510w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><\/figure>\n\n\n\n<p><strong>Solution<\/strong><\/p>\n\n\n\n<p><strong>A common approach used by students:<\/strong><\/p>\n\n\n\n<p>In this question, it is given that<\/p>\n\n\n\n<ul><li>4 machines take 27 hours to fill a certain production order<\/li><li>All machines operate at the same constant rate<\/li><\/ul>\n\n\n\n<p>We need to find out the difference in time if 6 machines work on the same production order. Now, it is given that,<\/p>\n\n\n\n<ul><li>4 machines take 27 hours to fill the production order\n<ul>\n<li>Hence, 1 machine will take (27\/4) hours to fill the same production order<\/li>\n<li>Therefore, 6 machines will take [(27\/4) x 6] hours = 40.5 hours to fill the production order<\/li>\n<\/ul>\n<\/li><li>Hence, the difference in time taken = (40.5 \u2013 27) hours = 13.5 hours<\/li><\/ul>\n\n\n\n<p><em>If you have got 13.5 hours as the answer, then you have <u>solved it incorrectly<\/u>.<\/em><\/p>\n\n\n\n<p><strong>Error in the above approach<\/strong><\/p>\n\n\n\n<p>In this question, when we are calculating the time taken by 1 machine to complete the production order, we have made a logical error.<\/p>\n\n\n\n<p>It is given that all machines operate at the same working rate.<\/p>\n\n\n\n<ul><li>Therefore, if 4 machines can fill the production order in 27 hours, logically 1 machine should take 4 times the time taken by 4 machines to fill the same production\n<ul>\n<li>This is happening because the efficiency of 1 individual machine is 1\/4 times of the combined efficiency of 4 machines<\/li>\n<li>Because efficiency and time taken are inversely proportional to each other, the time taken by 1 machine should be 4 times of the time taken by the 4 machines combined<\/li>\n<\/ul>\n<\/li><\/ul>\n\n\n\n<p>Let us take another similar example<\/p>\n\n\n\n<p><strong>Example 2<\/strong><\/p>\n\n\n\n<p><strong>Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"501\" height=\"244\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-2.png\" alt=\"gmat problem solving time and work questions\" class=\"wp-image-13672\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-2.png 501w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-2-300x146.png 300w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><\/figure>\n\n\n\n<p><strong>Solution<\/strong><\/p>\n\n\n\n<p><strong>A common approach used by students:<\/strong><\/p>\n\n\n\n<p>In this question, it is given that:<\/p>\n\n\n\n<ul><li>6 machines can complete a certain job in 12 days<\/li><li>All machines work at the same constant rate<\/li><\/ul>\n\n\n\n<p>We need to find out the number of additional machines required to complete the same job in 8 days.<\/p>\n\n\n\n<p>Now it is given that,<\/p>\n\n\n\n<ul><li>6 machines can complete the job in 12 days\n<ul>\n<li>Hence, 1 machine can complete the job in 12\/6 days = 2 days<\/li>\n<\/ul>\n<\/li><li>If 1 machine can complete the job in 2 days, we need 8\/2 = 4 machines to complete the job in 8 days<\/li><\/ul>\n\n\n\n<p><em>If you have got 4 as the answer, then you have <u>solved it incorrectly<\/u>.<\/em><\/p>\n\n\n\n<p><strong>Error in above approach<\/strong><\/p>\n\n\n\n<p>The solution to this question contains 2 errors.<\/p>\n\n\n\n<p>Error 1: Same as the previous question, if 6 machines can complete the job in 12 days, then 1 machine will be completing it by taking 6 times the original time.<\/p>\n\n\n\n<p>Error 2: Moreover, if 1 machine can complete the job in 2 days, you don\u2019t need 4 machines to complete the job in 8 days \u2013 as 1 machine itself can complete it in 2 days\u2019 time.<\/p>\n\n\n\n<p><strong>The Correct Solution<\/strong><\/p>\n\n\n\n<p><strong> Question 1&nbsp;<\/strong><br>Given that,<\/p>\n\n\n\n<ul><li>4 machines can complete the job in 27 hours.\n<ul>\n<li>Hence, 1 machine will complete the job in 27 * 4 = 108 hours<\/li>\n<li>Therefore, the total job is of 108 machine-hours.<\/li>\n<\/ul>\n<\/li><li>If 6 machines work simultaneously, then they will take 108\/6 hours = 18 hours to complete the job<\/li><\/ul>\n\n\n\n<p>Hence, the fewer hours = (27 \u2013 18) hours = 9 hours<\/p>\n\n\n\n<p><strong>Question 2<\/strong><\/p>\n\n\n\n<p>Given that,<\/p>\n\n\n\n<ul><li>6 machines can complete a certain job in 12 days\n<ul>\n<li>Hence, the total job is of 12 * 6 = 72 machine-hours.<\/li>\n<\/ul>\n<\/li><li>Now, if the job is supposed to be completed in 8 days, the total number of machines needed to do that = 72\/8 = 9<\/li><\/ul>\n\n\n\n<p>Hence, the additional number of machines required = (9 \u2013 6) = 3<\/p>\n\n\n\n<h2 id=\"h-mistake-number-2-the-incorrect-approach\">Mistake number 2 &#8211; The incorrect approach<\/h2>\n\n\n\n<p>To understand how your approach to solving Time and Work questions is incorrect, let&#8217;s look at one illustrative example.<\/p>\n\n\n\n<p><strong>Example 3<\/strong><\/p>\n\n\n\n<p><strong>At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?<\/strong><\/p>\n\n\n\n<ul><li><strong>A) 28<\/strong><\/li><li><strong>B) 24<\/strong><\/li><li><strong>C) 16<\/strong><\/li><li><strong>D) 14<\/strong><\/li><li><strong>E) 12<\/strong><\/li><\/ul>\n\n\n\n<p><strong>Solution<\/strong><\/p>\n\n\n\n<p><strong>Information given in the question<\/strong><\/p>\n\n\n\n<p>This is one of those questions which, if approached incorrectly, can be highly time-consuming and increases the probability of doing it wrong.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"506\" height=\"245\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-3.png\" alt=\"gmat problem solving time and work questions\" class=\"wp-image-13673\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-3.png 506w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-3-300x145.png 300w\" sizes=\"(max-width: 506px) 100vw, 506px\" \/><\/figure>\n\n\n\n<p>In this question, it is mentioned that:<\/p>\n\n\n\n<ul><li>Don had estimated the labor cost of a repair job as $336, which he was paid<\/li><li>The job took 4 hours longer than originally estimated<\/li><li>As a result, Don earned $2 less than his original estimated hourly rate<\/li><\/ul>\n\n\n\n<p>We need to find out the originally estimated time to finish the job.<\/p>\n\n\n\n<p><strong>A common approach used by students<\/strong><\/p>\n\n\n\n<p>This question deals with two separate variables:<\/p>\n\n\n\n<ul><li>Number of hours estimated to complete the job \u2013 assuming it to be x<\/li><li>The payment per hour of job \u2013 assuming it to be y<\/li><\/ul>\n\n\n\n<p>Now, as per the given information, Don got paid $336 for his estimated time and payment rate. Hence, we can write,<\/p>\n\n\n\n<ul><li>xy = 336&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; \u2460<\/li><\/ul>\n\n\n\n<p>As he took 4 hours more than the original estimated time, he got paid $2 less in every hour. Hence, we can write,<\/p>\n\n\n\n<ul><li>(x + 4) (y \u2013 2) = 336 &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.\u2461<\/li><\/ul>\n\n\n\n<p>Simplifying, we get xy \u2013 2x + 4y \u2013 8 = 336<\/p>\n\n\n\n<p>Replacing the value of xy from equation 1, we get 336 \u2013 2x + 4y \u2013 8 = 336<\/p>\n\n\n\n<p>Or, -2x + 4y = 8<\/p>\n\n\n\n<p>Or, 4y \u2013 2x = 8<\/p>\n\n\n\n<p>Or, 2y \u2013 x = 4<\/p>\n\n\n\n<p><em>Many students get stuck at this point. As they have already replaced the value of xy from the first equation, they feel that they have only one equation with two unknown variables \u2013 hence, the question cannot be solved.<\/em><\/p>\n\n\n\n<p><em>If observed closely, one can still solve the equation by replacing the value of either x or y from the 1<\/em><em>st<\/em><\/p>\n\n\n\n<p><em>equation into this derived equation to get the answer.<\/em><\/p>\n\n\n\n<p>From equation 1 we can write:<\/p>\n\n\n\n<ul><li>x = (336\/y)<\/li><\/ul>\n\n\n\n<p>replacing the value of x in the derived equation, we get:<\/p>\n\n\n\n<ul><li>2y &#8211; (336\/y) = 4<\/li><\/ul>\n\n\n\n<p>Or, 2y\u00b2 \u2013 336 = 4y<\/p>\n\n\n\n<p>Or, 2y\u00b2 \u2013 4y \u2013 336 = 0<\/p>\n\n\n\n<p>Or, y\u00b2 \u2013 2y \u2013 168 = 0<\/p>\n\n\n\n<p>Or, y\u00b2 \u2013 14y + 12y \u2013 168 = 0<\/p>\n\n\n\n<p>Or, (y \u2013 14) (y + 12) = 0<\/p>\n\n\n\n<p>As y cannot be negative, y = 14<\/p>\n\n\n\n<ul><li>Replacing the value of y in the equation&nbsp; x = (336\/y), we get x = 24<\/li><\/ul>\n\n\n\n<p>Now, this whole calculation may take longer time than expected and there exist high chances of making errors in different steps involved in the calculation.<\/p>\n\n\n\n<p><span style=\"color: #339966;\"><strong>Important Observations<\/strong><\/span><\/p>\n\n\n\n<ul><li><span style=\"color: #339966;\">Primarily this question does not need the usage of two variable. The question asks for the estimated time required for the job and only this can be assumed as the variable for the solving purpose.<\/span><\/li><li><span style=\"color: #339966;\">While solving the values for x and y, the value of y should not be solved. The question asks for x only, therefore, x should be solved on the first attempt.<\/span><\/li><\/ul>\n\n\n\n<p><strong>Correct approach and solution<\/strong><\/p>\n\n\n\n<p>We can assume the estimated time for Don to complete the job is t hours.<\/p>\n\n\n\n<ul><li>Therefore, the originally estimated earnings per hour = (336\/t)<\/li><li>As Don took 4 hours extra, his earnings per hour become&nbsp;[336\/(t+4)]<\/li><\/ul>\n\n\n\n<p>We know, the new earnings per hour are $2 less than the originally estimated earnings per hour Hence, we can write:<\/p>\n\n\n\n<ul><li>[(336\/t) &#8211; (336\/(t+4))] = 2<\/li><\/ul>\n\n\n\n<p>Simplifying, we get&nbsp;t\u00b2 + 4t \u2013 672 = 0<\/p>\n\n\n\n<ul><li>At this point, one can also form an equation and solve that to get the answer. However, if solving becomes difficult, one can also replace the options in place of t in the equation&nbsp; [(336\/t) &#8211; (336\/(t+4))] = 2, to get the answer<\/li><\/ul>\n\n\n\n<p>The value of t = 24 will satisfy the equation, hence, the answer is 24 hours.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><em>The devil is in the details! Planning out the finer details of your study schedule takes you one step closer to your target GMAT score. Learn the other benefits of a <\/em><strong><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-study-plan-benefits-study-plans-100-score-improvement\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">well defined study plan<\/a><\/strong><em> in this article.<\/em><\/p><cite>Save 60+ hours of GMAT preparation by crafting a well-defined study plan in just 3 steps:<\/cite><\/blockquote>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/5ftgtAl_3C0? rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-f495e79b-ff99-4a10-97b3-7335d1bd4f00\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/create-study-plan\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 576, 512\"><path fill=\"currentColor\" d=\"M144.3 32.04C106.9 31.29 63.7 41.44 18.6 61.29c-11.42 5.026-18.6 16.67-18.6 29.15l0 357.6c0 11.55 11.99 19.55 22.45 14.65c126.3-59.14 219.8 11 223.8 14.01C249.1 478.9 252.5 480 256 480c12.4 0 16-11.38 16-15.98V80.04c0-5.203-2.531-10.08-6.781-13.08C263.3 65.58 216.7 33.35 144.3 32.04zM557.4 61.29c-45.11-19.79-88.48-29.61-125.7-29.26c-72.44 1.312-118.1 33.55-120.9 34.92C306.5 69.96 304 74.83 304 80.04v383.1C304 468.4 307.5 480 320 480c3.484 0 6.938-1.125 9.781-3.328c3.925-3.018 97.44-73.16 223.8-14c10.46 4.896 22.45-3.105 22.45-14.65l.0001-357.6C575.1 77.97 568.8 66.31 557.4 61.29z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Create your Personalized Study Plan<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"h-mistake-number-3-incorrect-interpretation-of-the-question-statement\">Mistake number 3 &#8211; incorrect interpretation of the question statement<\/h2>\n\n\n\n<p>Let&#8217;s look at an illustrative example to understand this mistake better.<\/p>\n\n\n\n<p><strong>Example 4<\/strong><\/p>\n\n\n\n<p><strong>A, B, and C, working individually, can complete a job in 10 days, 12 days, and 15 days&nbsp;<\/strong><strong>respectively. All of them started working on the job together. B left after 2 days. C left 2 days before the originally scheduled number of days at which the job was supposed to be completed. In how many days the job completed?<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"502\" height=\"253\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-4.png\" alt=\"gmat problem solving time and work questions\" class=\"wp-image-13674\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-4.png 502w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/07\/gmat-problem-solving-time-and-work-questions-4-300x151.png 300w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/figure>\n\n\n\n<p><strong>A common approach used by students<\/strong><\/p>\n\n\n\n<p>In this question, it is given that:<\/p>\n\n\n\n<ul><li>A, B, and C can complete a certain job in 10, 12, and 15 days respectively while working individually<\/li><li>All of them started working on the job together<\/li><li>B left after working for 2 days<\/li><li>C left 2 days before the originally scheduled work completion time<\/li><\/ul>\n\n\n\n<p>We need to find out the total number of days at which the work gets completed.<\/p>\n\n\n\n<p>Now, we can assume the total work to be LCM (10, 12, 15) = 60 units<\/p>\n\n\n\n<ul><li>A can complete 60 units of work in 10 days\n<ul>\n<li>Hence, A can complete 6 units of work in 1 day<\/li>\n<\/ul>\n<\/li><li>B can complete 60 units of work in 12 days\n<ul>\n<li>Hence, B can complete 5 units of work in 1 day<\/li>\n<\/ul>\n<\/li><li>C can complete 60 units of work in 15 days\n<ul>\n<li>Hence, C can complete 4 units of work in 1 day<\/li>\n<\/ul>\n<\/li><\/ul>\n\n\n\n<p>Now, let\u2019s assume the total work gets completed in d days<\/p>\n\n\n\n<p>Hence, we can say<\/p>\n\n\n\n<ul><li>A works for d days<\/li><li>B works for 2 days<\/li><li>C works for (d &#8211; 2) days<\/li><\/ul>\n\n\n\n<p>As we know the work done by them individually in 1 day, we can calculate the total work done by them.<\/p>\n\n\n\n<ul><li>Work done by A = 6 \u00d7 d units = 6d units<\/li><li>Work done by B = 5 \u00d7 2 units = 10 units<\/li><li>Work done by C = 4 \u00d7 (d \u2013 2) units = 4d \u2013 8 units<\/li><\/ul>\n\n\n\n<p>Therefore, 6d + 10 + 4d \u2013 8 = 60<\/p>\n\n\n\n<ul><li>Solving, 10d = 58<\/li><li>Or, <strong>d = 5.8 days<\/strong><\/li><\/ul>\n\n\n\n<p>Hence, the total work gets completed in 5.8 days<\/p>\n\n\n\n<p><em>If you have got 5.8 days as the answer, then you have <u>solved it incorrectly<\/u>.<\/em><em>&nbsp;<\/em><\/p>\n\n\n\n<p><strong>The mistake and the correct approach<\/strong><\/p>\n\n\n\n<p>Here the mistake lies in the wrong interpretation of the question statement.<\/p>\n\n\n\n<p>In the solution, we assumed that the total number of days taken to complete the job is d days. From that, it is inferred that the number of days C worked for is (d \u2013 2) days.<\/p>\n\n\n\n<p>However, in the question, it was mentioned that <em>C left 2 days before the originally scheduled number of days at which the job was supposed to be completed<\/em>.<\/p>\n\n\n\n<ul><li>One needs to notice that d days doesn\u2019t indicate the originally scheduled work completion time, rather it indicates the modified work completion time<\/li><li>The originally scheduled work completion time indicates the time in which the work would have been completed if all A, B, and C worked together till last<\/li><\/ul>\n\n\n\n<p>Now, the total work done by all 3 of them together in 1 day = (6 + 5 + 4) units = 15 units<\/p>\n\n\n\n<p>Hence, the originally scheduled work completion time = (60\/15) days = 4 days<\/p>\n\n\n\n<p>Therefore, C worked for (4 \u2013 2) days = 2 days in total<\/p>\n\n\n\n<p>Hence, we can say<\/p>\n\n\n\n<ul><li>Work done by A = 6 \u00d7 d units = 6d units<\/li><li>Work done by B = 5 \u00d7 2 units = 10 units<\/li><li>Work done by C = 4 \u00d7 2 units = 8 units<\/li><\/ul>\n\n\n\n<p>Therefore, 6d + 10 + 8 = 60 Solving, 6d = 42<\/p>\n\n\n\n<p>Or, <strong>d = 7 days<\/strong><\/p>\n\n\n\n<p>The total work gets completed in 7 days\u2019 time<\/p>\n\n\n\n<h1 id=\"h-takeaways-gmat-problem-solving-time-and-work\">Takeaways | GMAT Problem Solving | Time and Work<\/h1>\n\n\n\n<ol><li>For any person or machine, <u>efficiency and work rate are always inversely proportional to each other<\/u>. Hence, less number of resources working in a specific job always take more time compared to more number of resources working on the same job.<\/li><li>While attempting GMAT problem solving questions on time and work, you need to <u>focus on the exact parameter which the question is asking for<\/u>. Sometimes assuming more than what is required can complicate the calculation and increase the chance of making an error.<\/li><li><u>While making inferences<\/u> from the question stem, you need to <u>decipher the correct meaning of the given statements<\/u> and <u>ensure the details are considered<\/u> while solving \u2013 ignoring which may interpret wrongly and get an incorrect answer.<\/li><\/ol>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-e766f337-845b-43e5-8057-afa40b594aa2\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"h-practice-questions-on-time-and-work\">Practice questions on Time and Work<\/h2>\n\n\n\n<p>Here is a list of questions specifically designed to help you apply the learnings on GMAT problem solving questions on Time and Work<\/p>\n\n\n\n<p><a href=\"https:\/\/gmatclub.com\/forum\/working-at-their-individual-same-constant-rate-24-machines-can-comple-266775.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Question 1<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/gmatclub.com\/forum\/justin-runs-a-car-rental-business-where-he-rents-out-cars-on-a-fixed-266776.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Question 2<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/gmatclub.com\/forum\/leo-shelly-and-raj-can-complete-a-certain-job-in-10-12-and-15-days-266777.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Question 3<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/gmatclub.com\/forum\/leo-shelly-and-raj-can-complete-a-certain-job-in-10-12-and-15days-r-266778.html\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Question 4<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>GMAT problem solving questions on Time and Work can be solved easily and quickly provided you do not make mistakes while solving them. In the last article, we compared the conventional methods of solving Time and work questions with the LCM method and the efficiency (work rate) method.&nbsp;If you haven&#8217;t read the previous article on [&hellip;]<\/p>\n","protected":false},"author":102406,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[94,60,102],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Suheb Hussain","author_link":"https:\/\/e-gmat.com\/blogs\/author\/syede-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>GMAT Problem Solving - 3 mistakes you must avoid in Time and Work questions | e-GMAT<\/title>\n<meta name=\"description\" content=\"Incorrect relation between time and work, incorrect approach, and incorrect interpretation are 3 deadly mistakes you must avoid in GMAT problem solving questions\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/gmat-problem-solving-3-mistakes-you-must-avoid-in-time-and-work-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Problem Solving - 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