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A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

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1. 

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

[A]. 48 km/hr
[B]. 54 km/hr
[C]. 66 km/hr
[D]. 82 km/hr

Answer: Option D

Explanation:

Let the speed of the second train be x km/hr.

Relative speed = (x + 50) km/hr
 
= 1-sym-obracket-h1 (x + 50) x 5 1-sym-cbracket-h1 m/sec
18
 
= 1-sym-obracket-h1 250 + 5x 1-sym-cbracket-h1 m/sec.
18

Distance covered = (108 + 112) = 220 m.

Therefore 220 = 6
1-sym-oparen-h1 250 + 5x 1-sym-cparen-h1
18

=> 250 + 5x = 660

=> x = 82 km/hr.

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