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In a 200 metre race, A beats B by 20 metres; while in a 100 metres race, B beats C by 5
metres. Assuming that the speed of A, B and C remain the same in various races, by how many metres will A beat C in one kilometre race ?
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- 140 metre
- 145 metre
- 135 metre
- 125 metre
Correct Option: C
According to the question,
when A covers the distance of 200 metres, B covers only 200– 20 = 180 metres
Again, in 100 metre race, B beats C by 5 metres.
Hence, if B runs 100 metres, C runs 100–5 = 95 metres
∵ If B runs 100 m, C runs = 95 m
∴ If B runs 180 m, C runs
| = | = 171 m | |
| 100 |
∴ A : B : C = 200 : 180 : 171
Hence, A will beat C by
= 200–171 = 29 m in 200 m race.
i.e., 29 × 5 = 145 m in 1 km race.
