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  1. A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass through another platform 120 m long. The length of the train (in m) is :
    1. 70
    2. 80
    3. 90
    4. 105
Correct Option: C

Let the length of the train be x metres.
When a train corsses a platform it covers a distance equal to the sum of lengths of train and platform. Also, the speed of train is same.

∴ 
x + 162
=
x + 120
1815

⇒  6x + 720 = 5x + 810
⇒  6x – 5x = 810 – 720
⇒  x = 90
∴  The length of the train = 90m.



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