A train passes a platform in 40 sec and a woman standing on the platform in 30 sec If the speed...........

Quant (SSC) Problems on trains

A train passes a platform in 40 sec and a woman standing on the platform in 30 sec. If the speed of the train is 108 km/hr, what is the length of the platform ?.

100 m

200 m

300 m

400 m

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Explanation:

Speed of the train = (108 x 5/18) = 30 m/s
Length of the train = Distance travelled to cross the woman x Time taken = (30 × 30) m = 900m.
Let the length of the platform be x meters.
Then, (x + 900) /40 = 30
⇒ x + 900 = 1200
⇒ x = 300 m.