Question

Two trains, A and B, are moving towards each other. Train Ais 150 meters long and is running at a speed of 300 m/s, Train Bis 110 meters long and is running at aspeed of 180 m/s. How much time would the longer train take to cross the shorter one?+10Options75 seconds60 seconds55 seconds65 seconds$ Clear AnswerAnswer SavedActivate​

Answer 1

Given :-

Two trains A which is 150 m long and train B which is 110 m long are moving towards each other at a speed of 300 m/s and 180 m/s respectively.

To Find :-

Time taken by the longer train (train A) to cross the shorter one (train B)

Solution :-

Since, the trains are moving towards each other,So the relative speed would be the sum of thier speeds.

⇒ Rel. Speed = 300 + 180

⇒ Rel. Speed = 480 m/s

To cross the shorter train, the longer train would have to travel its own length and the length of the shorter train because we are talking about crossing here, Hence train A should be ahead of train B

⇒ Distance travelled = 150 + 110

⇒ Distance travelled = 260 m

We know,

⇒ Distance = Speed × Time

⇒ Time = Distance / Speed

⇒ Time = 260 / 480

⇒ Time = 0.54

So, The longer train would take 0.54 seconds to cross the shorter train.

Answer 2

Correct Question:

Two trains A which is 150 m long and train B which is 110 m long are moving towards each other at a speed of 300 m/s and 180 m/s respectively. Find the time when both will cross each other.

Answer:

• When Trains are Moving in different directions then we Add Both Speed.
• When Trains are Moving in same directions then we Subtract Both Speed.
• Distance (Of Trains) will always be added.

• According to the Given Question :

⇒ Distance = Speed × Time

⇒ (150 m + 110 m) = (300 m/s + 180 m/s) × Time

⇒ 260 m = 480 m/s × Time

⇒ 260 m ÷ 480 m/s = Time

⇒ Time = 0.54 seconds

∴ Trains will cross each other in 0.54 seconds.