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.

A) 1

B) 0.1

C) 0.2

D) 0.9

How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same 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

Q1: 2

Q2: Option (B)

Q3: 2

Q4: Option (B)

When two cars go from the route A â€“ N â€“ B

Total time taken = 30 minutes

When two cars go from the route A â€“ M â€“ B

Total time taken = 29.9 minutes

So, the number of cars that can go from the route A-N-B are 2

Answer: 2

As we can see from the above question, the difference in time will be 30-29.9 = 0.1 minutes

Option (B)

When only one care takes the route A â€“ N â€“B

Total time = 26 minutes

When only one car takes the route A â€“ M â€“ B

Total time = 26 minutes

So, police department will ask 2 cars to take the route A â€“ M â€“ N â€“ B

Answer: 2

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 (2cars) = 12 + 8 + 12 = 32 minutes. A-N-B (1 car) = 20 + 12 =32 minutes.

Option (B)

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