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In a kilometre race, A beats B by 30 seconds and B beats C by is seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is

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In a kilometre race, A beats B by 30 seconds and B beats C by is seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is
1). 250 sec.
2). 205 sec.
3). 200 sec.
4). 210 sec.

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2 answers

2 vote
Answered by on | Votes 2 |
I am not sure, may be 205 sec. is correct

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0 vote
Answered by on | Votes 0 |
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 =$\frac{180}{45}$ = 4 m/sec Time taken by C to cover 1000 m =$\frac{1000}{4}$ = 250 sec. so that, Time taken by A to cover 1000 m = 250–45 = 205 sec.




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