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Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is-

A. 30 km/hr

B. 45 km/hr

C. 60 km/hr

D. 75 km/hr

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Correct Answer : C.

L e t t h e s p e e d o f t h e s l o w e r t r a i n b e x m / s e c . T h e n, s p e e d o f t h e f a s t e r t r a i n = 2 x m / s e c . R e l a t i v e s p e e d = (x + 2 x) m / s e c = 3 x m / s e c . ∴ \frac{(100 + 100)}{8} = 3 x \Rightarrow 24 x = 200 \Rightarrow x = \frac{25}{3} . S o, s p e e d o f t h e f a s t e r t r a i n = \frac{50}{3} m / s e c = (\frac{50}{3} x \frac{18}{5}) k m / h r = 60 k m / h r .

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