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Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in h hours, what was her average speed in miles per hour? – OGQR 2020 Question #82 with Solution

OGQR 2020: Question No. 82

Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in (2/3)h hours, what was her average speed in miles per hour?

Source OGQR 2020
Type Problem Solving
Topic Word Problems
Sub-Topic Distance
Difficulty Easy-Medium

Solution

Given

In this question, we are given

  • Carl averaged 2m miles per hour on a trip that took him h hours.
  • Ruth made the same trip in (2/3)h hours

To Find

We need to determine

  • The average speed of Ruth, in miles per hour.

Approach & Working

Both of them are making the same trip, hence, the distance covered by both of them will be the same.

  • Distance covered by Carl = 2m * h miles = 2mh miles
  • Distance covered by Ruth = speed of Ruth * (2/3)h miles

As the distance is the same, we can write

  • 2mh = speed of Ruth * (2/3)h

Or, speed of Ruth = 3m

Hence, the correct answer is option E.

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