CAT 2017 Question Paper | Quants Slot 2

CAT Questions

2IIM offers you CAT previous year paper in a user-friendly format, so that it can add value to your CAT Preparation. The below question is from the topic Races under the Quantitative Aptitude section of the CAT Exam.The question has been taken from CAT 2017 Question Paper: Slot 2 and aims to compare the distance between three people participating in a race using the concept of uniform speeds.
Try to solve the question without seeing the solution and then move on to assess yourself based on the video and text explanation provided.
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Question 2 : In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C? [TITA]

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Races

Given that in a 10 km race A , B and C Each running at uniform speed

If A beats B by 1km i.e. if A has reached 10 km B has reached only 9 km.

Similarly B beats C by 1 this means when B is at the end point i.e, if B has reached 10 km C has reached only 9 km.

We have to find by how many metres does A beat C.
This can be found by simple ratio concept.
If A runs 10 km, B runs 9 km and also when B runs 9 km C runs \\frac{9 × 9}{10}) = 8.1
That is when A runs 10 km C runs 8.1 km or in other words C lags behind A by 1.9 km which is equal to 1900 metres.

The question is "In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C? [TITA]"

Hence, the answer is 1900

 

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