A train passes a station platform in 37 seconds and a man standing on the platform in 20 seconds.

A train passes a station platform in 37 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Quiz

Answer/Solution

255 m

Steps/Work

Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/37 = 15 ==> x + 300 = 555 ==> x
= 255 m.
Answer: D