# If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T? – OG 2020 Question #307 with Solution

## OG 2020: Question No. 307

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T?

1. R is between S and T.
2. S is to the left of R, and T is to the right of R.

### Solution

#### Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given

• R, S, and T are points on a line.
• R is 5 meters from T and 2 meters from S.

We need to determine

• The distance between S and T.

As we don’t know the respective positions of the points, with respect to each other, there can be multiple possibilities:

• Case 1:
• Case 2:
• Case 3:
• Case 4:

However, among the given scenarios, which one is true is not known. Hence, let us now analyse the individual statements to get more information.

#### Step 3: Analyse Statement 1

As per the information given in statement 1, R is between S and T.

From our previous analysis, we can see that case 1 and case 4 indicates the scenario where R is between S and T.

• In both the cases, the distance between S and T = distance between S and R + distance between R and T = (2 + 5) meters = 7 meters

As we can find the distance between S and T, statement 1 is sufficient to answer the question.

#### Step 4: Analyse Statement 2

As per the information given in statement 2, S is to the left of R, and T is to the right of R.

From our previous analysis, we can see that only case 4 satisfies the condition.

• As per case 4, the distance between S and T = distance between S and R + distance between R and T = (2 + 5) meters = 7 meters

As we can find the distance between S and T, statement 2 is sufficient to answer the question.

#### Step 5: Combine Both Statements Together (If Needed)

Since we can determine the answer from either of the statements individually, this step is not required.

Hence, the correct answer choice is option D.

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