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Two trains running with a speed of 36 km/hr and 45 km/hr cross each other in 10 sec when they run in opposite direction. When they run in the same direction, a person in the faster train observed that he crossed the other train in 20 sec. find the lengths of the two trains.

A.	80 m and 145m	B.	50m and 175m
C.	75m and 150m	D.	100m and 125m

Answer and Explanation

Answer:50m and 175m

Explanation:
Let the length of the two trains be X & y m.
When the trains are travelling in opposite direction, Relative speed = 36 + 45 = 81 km/hr
81× 5/18 = 45/2 m/s
Distance covered = Sum of lengths of trains = (X + Y) m
X + Y / 10 = 45/2
X + Y = 225 => (1)
When the trains run in opposite directions,
The relative speed = 45 – 36 = 9 km/hr, ie. 9 × 5/18 = 5/2 m/s
Distance covered = X m
X/20 = 5/2
X = 50 m
Y = 225 – 50 = 175 m

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