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Two trains A and B are running between two points. If the speed of train A is 50% more than the speed of train B. To cover that distance, A takes 15 minutes less than B. If A covered double the distance when B covers the same distance as earlier then he takes 18 minutes more than B. How much time will train A take to cover the distance.

Two trains A and B are running between two points. If the speed of train A is 50% more than the speed of train B. To cover that distance, A takes 15 minutes less than B. If A covered double the distance when B covers the same distance as earlier then he takes 18 minutes more than B. How much time will train A take to cover the distance. Correct Answer 33 minutes

Given:

Speed of train A = 150% of Speed of train B

Calculations:

Time taken by train A= Ta

Time taken by train B= Tb

⇒ Tb – Ta = 15 minutes      …(i)

If train A takes ‘Ta’ time to travel a distance, it will take ‘2Ta’ time to travel double the distance

⇒ 2Ta – Tb = 18 minutes      …(ii)

Adding (i) and (ii),

⇒ Ta = 33 minutes

∴ The train A will cover the distance in 33 minutes

Shortcut Trick A takes 15 min less time than B to cover the distance.

B takes 15 min more than A  to complete the distance.

If A covered double the distance when B covers the same distance as earlier then A takes 18 minutes more than B. 

So, A 's time taken to cover the double  distance = 15 min (as A completed the distance 15 min earlier than B) + 18 min = 33 min

So total time taken by A to cover the double distance = 15 + 18 = 33 minutes

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