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. $27 \frac{7}{9}$

B. $28 \frac{7}{9}$

C. $29 \frac{7}{9}$

D. $30 \frac{7}{9}$

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Correct Answer :

A. $27 \frac{7}{9}$

As Trains are moving in same direction,
So, Relative Speed = 40-20 = 20 kmph
= 20*(5/18) = 50/9 m/sec
Length of Train= Speed * Time

L e n g t h = \frac{50}{9} \times 5 = \frac{250}{9} = 27 \frac{7}{9}