A 540 m long train, running at a uniform speed, crosses a platform in 55 seconds and cromes a man standing on the platform in 36 seconds. What is the length (in m) of the platform?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 285.
Let the speed of the train be v m/s.
From second case:
Train crosses a man in 36 sec ⇒
Speed = Length / Time = 540 / 36 = 15 m/s
Now use this speed to find platform length:
Train crosses platform in 55 sec ⇒
Distance = Speed × Time = 15 × 55 = 825 m
Platform length = 825 − 540 = 285 m