CAT Questions | CAT LR DI

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CAT DI LR section has become increasingly tough beginning from 2015. However, Understanding the basics of Bar graphs, Pie Charts, Multiple graphs, Line Graphs etc forms an integral part of solving tougher CAT level DI LR questions for the CAT Exam. This question is from CAT 2017 Slot 1 CAT DILR.

CAT DILR : 2017 slot 1 questions

Cars Travel Route

Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

Question 2: If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that takes the route A-M-B?

  1. 1
  2. 0.1
  3. 0.2
  4. 0.9

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Explanatory Answer

Method of solving this Question on CAT DILR

General Solution

A-M-B and A-N-B routes and the time taken for each narrow and broad roads are given in the below pictures. Based on those pictures, we can solve the questions.
CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

When 2 cars were sent in the both routes, the time is minimal for both routes.
In that case, the difference = 30 - 29.9 = 0.1

The question is "what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that takes the route A-M-B?"

Hence, the answer is "0.1".

Choice B is the correct answer.

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