Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

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 8, 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 :

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?
Option: 1
1

Option: 2
0.1

Option: 3
0.2

Option: 4
0.9

Answers (1)

best_answer

If 2 cars are sent through each route, then the travel time for each car on route A-M-B is 12 minutes + 6 minutes/car * (number of cars - 1) = 29.9 minutes.
The travel time for each car on route A-N-B is 40 minutes + 2 minutes/car * (number of cars - 1) = 30 minutes.
Therefore, the difference in travel time is 30 minutes - 29.9 minutes = 0.1 minutes.

Below is the table showing the travel times for each route:

Route	Travel time for 1 car	Travel time for 2 cars
A-M-B	$\mathrm{6~minutes+\frac{3~minutes}{car}\times(numbers~ of~ cars-1)}$	$\mathrm{12~minutes+\frac{6~minutes}{car}\times(numbers~ of~ cars-1)}$
A-N-B	$\mathrm{20~minutes+\frac{1~minutes}{car}\times(numbers~ of~ cars-1)}$	$\mathrm{40~minutes+\frac{2~minutes}{car}\times(numbers~ of~ cars-1)}$

As you can see, the difference in travel time between the two routes is 0.1 minutes.

Therefore, the answer is 2.

Posted by

shivangi.shekhar

View full answer

Similar Questions

Latest Question