A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

A. 230 meter

B. 240 meter

C. 260 meter

D. 320 meter

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Correct Answer :

A. 230 meter

R e l a t i v e s p e e d = (120 + 80) k m / h r = (200 x \frac{5}{18}) m / s e c = (\frac{500}{9}) m / s e c . L e t t h e l e n g t h o f t h e o t h e r t r a i n b e x m e t r e s . T h e n, \frac{x + 270}{9} = \frac{500}{9} \Rightarrow x + 270 = 500 \Rightarrow x = 230 .