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In a kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is
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- 250 seconds
- 205 seconds
- 200 seconds
- 210 seconds
Correct Option: B
A beats B by 30 seconds and B beats C by 15 seconds.
Clearly, A beats C by 45 seconds.
Also, A beats C by 180 metres.
Hence, C covers 180 metres in 45 seconds.
| ∴ Speed of C = | = 4 m/sec | |
| 45 |
∴ Time taken by C to cover 1000 m
| = | = 250 sec. | |
| 4 |
∴ Time taken by A to cover 1000 m
= 250–45 = 205 sec.
