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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 :
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- 70
- 80
- 90
- 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.
∴ | = | ||
18 | 15 |
⇒ 6x + 720 = 5x + 810
⇒ 6x – 5x = 810 – 720
⇒ x = 90
∴ The length of the train = 90m.