CAT DILR Questions | CAT Analytical Reasoning questions
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Comprehension
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.
CAT/2017.1
Question . 96
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?
Explanatory Answer
Method of solving this CAT DILR Question from Analytical Reasoning question
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.
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".
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