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A train passes a station platform in 36 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?

A. 225 meters

B. 240 meters

C. 230 meters

D. 235 meters

Answer: Option B

Solution(By Examveda Team)

Speed = $$\left( {54 \times \frac{5}{{18}}} \right)$$  m/sec = 15 m/sec
Length of the train = (15 × 20) m = 300 m
Let the length of the platform be x meters
Then, $$\frac{{{\text{x}} + 300}}{{36}}$$  = 15
⇒ x + 300 = 540
⇒ x = 240 meters

This Question Belongs to Arithmetic Ability >> Problems On Trains

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