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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. 120 meter

B. 240 meter

C. 300 meter

D. None of these

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Correct Answer :

B. 240 meter

S p e e d = (54 \times \frac{5}{18}) m / s e c = 15 m / s e c . L e n g t h o f t h e t r a i n = (15 x 20) m = 300 m . L e t t h e l e n g t h o f t h e p l a t f o r m b e x m e t r e s . T h e n, \frac{x + 300}{36} = 15 \Rightarrow x + 300 = 540 \Rightarrow x = 240 m .

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