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A policeman goes after a thief who has 100 metres start, if the policeman runs a kilometre in 8 min, and the thief a km in 10 min, the distance covered by thief before he is over-powered is
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- 350 m
- 400 m
- 320 m
- 420 m
Correct Option: B
| Relative speed = | − | ||
| 8 | 10 |
| = | = | m/minute | ||
| 40 | 40 |
| ∴ Required time = | |||||
| 40 | |||||
| = | = 4 m/minute | |
| 1000 |
| ∴ Distance covered by the thief = | × 4 | |
| 10 |
= 400 metres