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A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A. 69.5 km/hr

B. 70 km/hr

C. 79 km/hr

D. 79.2 km/hr

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Correct Answer : D.

L e t t h e l e n g t h o f t h e t r a i n b e x m e t r e s a n d i t s s p e e d b y y m / s e c . T h e n, \frac{x}{y} = 8 \Rightarrow x = 8 y N o w, \frac{x + 264}{20} = y \Rightarrow 8 y + 264 = 20 y \Rightarrow y = 22 . T h e r e f o r e S p e e d = 22 m / s e c = (22 x \frac{18}{5}) k m / h r = 79.2 k m / h r .

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