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Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

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1. 

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

[A]. 23 m
[B]. 23 2/9 m
[C]. 27 7/9 m
[D]. 29 m

Answer: Option C

Explanation:

Relative speed = (40 - 20) km/hr = 1-sym-oparen-h1 20 x 5 1-sym-cparen-h1 m/sec = 1-sym-oparen-h1 50 1-sym-cparen-h1 m/sec.
18 9
Therefore Length of faster train = 1-sym-oparen-h1 50 x 5 1-sym-cparen-h1 m = 250 m = 27 7 m.
9 9 9
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