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Two trains 100 metres and 95 metres long respectively pass each other in 27 seconds when they run in the same direction and in 9 seconds when they run in opposite directions. Speed of the two trains are
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- 44 km/hr, 22 km/hr
- 52 km/hr, 26 km/hr
- 36 km/hr. 18 km/hr
- 40 km/hr, 20 km/hr
Correct Option: B
Let the speed of trains be x and y metre/sec respectively,
| = 27 | |
| x − y |
| ⇒ x − y = | = | .....(i) | ||
| 27 | 9 |
Again,
| = 9 | |
| x + y |
| ⇒ x + y = | .....(ii) | |
| 9 |
By equation (i) + (ii)
| ⇒ 2x = | + | = | |||
| 9 | 9 | 9 |
| ⇒ x = | = | m/sec. | ||
| 2 × 9 | 9 |
| = |  | × |  | kmph = 52 kmph | ||
| 9 | 5 |
From equation (ii),
| y = | − | = | m/sec. | |||
| 9 | 9 | 9 |
| = | × | = 26 kmph | ||
| 9 | 5 |
