A 300 meter 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. 310 meter

B. 335 meter

C. 345 meter

D. 350 meter

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Correct Answer :

D. 350 meter

Speed = Distance/time = 300/18 = 50/3 m/sec
Let the length of the platform be x meters
then

D i s \tan c e = S p e e d \times T i m e x + 300 = \frac{50}{3} \times 39 \Rightarrow 3 (x + 300) = 1950 \Rightarrow x = 350 m e t e r s