Two trains are running at 40 km/hr and 20 km/hr respectively in the same directi

Question

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?

Options:

A . 23 m

B . \(23\frac{2}{9}m\)

C . \(27\frac{7}{9}m\)

D . 29m

Answer: Option C

Relative speed = (40 - 20) km/hr = \(\left(20\times\frac{5}{18}\right)m/sec=\left(\frac{50}{9}\right)m/sec\)

Therefore Length of faster train = \(\left(\frac{50}{9}\times5\right)m = \frac{250}{9}m=27\frac{7}{9}\)

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