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In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50…

The correct choice is: 76 metres When A runs 600 m, B runs 540 m, so \(B = 0.9A\). When B runs 500 m, C runs 450 m, so \(C = 0.9B\). When A runs 400 m, B runs \(400 \times…

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In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?

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Answer and explanation

Correct answer A

The correct choice is: 76 metres

When A runs 600 m, B runs 540 m, so B=0.9AB = 0.9A. When B runs 500 m, C runs 450 m, so C=0.9BC = 0.9B.

When A runs 400 m, B runs 400×0.9=360400 \times 0.9 = 360 m and C runs 360×0.9=324360 \times 0.9 = 324 m.

A beats C by 400−324=76400 - 324 = 76 m. Hence the answer is ‘76 metres’.

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