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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. A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.
Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)
  • a)
    26
  • b)
    32
  • c)
    29.9
  • d)
    30
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions for Questions:Four cars need to travel from Akala (A) to Ba...
When all cars follow the Police order the time taken would be A–M–B (1 car)
= 12 + 20 = 32 minutes.
A–M–N–B (2 cars) = 12 + 8 + 12
= 32 minutes.
A–N–B (1 car) = 20 + 12
= 32 minutes.
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Most Upvoted Answer
Directions for Questions:Four cars need to travel from Akala (A) to Ba...
Analysis:
To minimize the travel time from A to B, we need to consider the order in which cars should take the routes A-M-B, A-N-B, and A-M-N-B.

Route A-M-B:
- The first car takes 6 minutes.
- The second car takes 9 minutes.
- The third car takes 12 minutes.
- The fourth car takes 15 minutes.

Route A-N-B:
- The first car takes 20 minutes.
- The second car takes 21 minutes.
- The third car takes 22 minutes.
- The fourth car takes 23 minutes.

Route A-M-N-B:
- The first car takes 13 minutes (6 minutes on A-M and 7 minutes on M-N).
- The second car takes 16 minutes.
- The third car takes 19 minutes.
- The fourth car takes 22 minutes.

Minimum Travel Time Calculation:
- If we assign the fastest route to the first car, the second car should take the next fastest route, and so on.
- The order should be A-M-B, A-M-N-B, A-N-B, and A-N-B for the first, second, third, and fourth cars respectively.
- The minimum travel time will be when the cars take routes in the order A-M-B, A-M-N-B, A-N-B.
- The total travel time for the cars following this order will be 32 minutes.
Therefore, the correct answer is option b) 32.
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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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct answer is option 'B'. Can you explain this answer?
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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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct answer is option 'B'. Can you explain this answer?.
Solutions 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct 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.A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)a)26b)32c)29.9d)30Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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