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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

A. 50 m

B. 150 m

C. 200 m

D. Data inadequate

Correct Answer : B.


Let the length of the train be x metres and its speed by y m/sec.  Then, xy = 15 ⇒ y = x15 .   Therefore x + 10025 = x15   ⇒ 15(x + 100) = 25x  ⇒ 15x + 1500 = 25x  ⇒ 1500 = 10x  ⇒  x = 150 m.

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