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A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

Correct Answer: 400 m

Explanation:

Let the length of the first train be x metres.


Then, the length of the second train is x metres.
2



Relative speed = (48 + 42) kmph = 90 x 5 m/sec = 25 m/sec.
18



[x + (x/2)] = 12 or 3x = 300     or     x = 200.
25 2


∴ Length of first train = 200 m.


Let the length of platform be y metres.



Speed of the first train = 48 x 5 m/sec = 40 m/sec.
18 3



∴ (200 + y) x 3 = 45
40


⟹ 600 + 3y = 1800


y = 400 m.


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