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Two trains start from stations A and B and travel towards each other at speed of 50 km/hour and 60 km/hour respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is :
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- 990 km
- 1200 km
- 1320 km
- 1440 km
Correct Option: C
Let train A start from station A and B from station B.
Let the trains A and B meet after t hours.
∴ Distance covered by train A in t hours = 50t
Distance covered by train B in t hours = 60t km
According to the question,
60t – 50t = 120
| ⇒ t = | = 12 hours. | |
| 10 |
∴ Distance AB = 50 × 12 + 60 ×
12 = 600 + 720 = 1320 km
Second Method :
Here, a = 60, b = 50, d = 120
| Distance between A and B = |  |  | × d | |
| a − b |
| = | | | × 120 | |
| 60 − 50 |
| = | × 120 = 1320 km | |
| 10 |
