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Directions for Questions: 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.
(2017)
Q. How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions for Questions: Four cars need to travel from Akala (A) to B...
As there are four cars and as the time through each route is nearly the same, two cars should go through A–M–B and the other two through A–N–B. In case three cars are directed to go through any of the routes, one of the three cars can break the police order and reduce its travel time.
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Most Upvoted Answer
Directions for Questions: Four cars need to travel from Akala (A) to B...
Analysis:
- Route A-N-B involves two congested roads, one from A to N and the other from N to B.
- The travel time on the road from A to N increases by 1 minute for each additional car.
- The travel time on the road from N to B is fixed at 20 minutes for the first car.

Determination:
- If one car takes the A-N-B route, the total travel time will be 20 minutes (A-N) + 20 minutes (N-B) = 40 minutes.
- If two cars take the A-N-B route, the total travel time will be 21 minutes (A-N) + 20 minutes (N-B) = 41 minutes.
- If three cars take the A-N-B route, the total travel time will be 22 minutes (A-N) + 20 minutes (N-B) = 42 minutes.
- If four cars take the A-N-B route, the total travel time will be 23 minutes (A-N) + 20 minutes (N-B) = 43 minutes.

Conclusion:
- To minimize the total travel time for all cars, the police department would ask two cars to take the A-N-B route. This decision ensures the least amount of congestion on the road from A to N, leading to a more efficient overall travel time for all four cars.
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Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
Question Description
Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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(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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for Questions: 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 itstravel time by not following the order, while the other cars are following the order.(2017)Q.How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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