Two trains travel in opposite directions at 36 km/hr and 45 km/hr respectively. A man sitting in the slower train passes the faster train in 8 s. What will be the length of the faster train?

(A) 80 m

(B) 120 m

(C) 150 m

(D) 180 m

Solution:

Given that two trains travel in opposite directions. 

So relative speed = (36 + 45) = 81 km/hr

= 81×(5/18) m/s

= 405/18 m/s

A man sitting in the slower train passes the faster train in 8 s.

Distance = speed × time

= (405/18)× 8

= 180 m

Length of the faster train = 180 m.

Hence option D is the answer.

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