A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

A. 320 m

B. 350 m

C. 650 m

D. Data inadequate

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Correct Answer :

B. 350 m

S p e e d = (\frac{300}{18}) m / s e c = (\frac{50}{3}) m / s e c . 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}{39}) = \frac{50}{3} \Rightarrow 3 (x + 300) = 1950 \Rightarrow x = 350 m .