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A train with a uniform speed passes a platform, 122 metres long, in 17 seconds and a bridge, 210 metres long, in 25 seconds. The speed of the train is
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- 46.5 km/hour
- 37.5 km/hour
- 37.6 km/hour
- 39.6 km/hour
Correct Option: D
Let the length of the train be x
According to the question,
| = | ||
| 17 | 25 |
⇒ 25x + 3050 = 17x + 3570
⇒ 25x – 17x = 3570 – 3050
⇒ 8x = 520
| ⇒ x = | = 65 metres | |
| 8 |
| ∴ Speed of the train = | |
| 17 |
| = | metre/second | |
| 17 |
= 11 metre/second
| = | kmph | |
| 5 |
= 39.6 kmph