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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

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1. 

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

[A]. 50 m
[B]. 150 m
[C]. 200 m
[D]. Data inadequate

Answer: Option B

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 15     =>     y = x .
y 15
Therefore x + 100 = x
25 15

=> 15(x + 100) = 25x

=> 15x + 1500 = 25x

=> 1500 = 10x

=> x = 150 m.

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