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Question

In a race of 800 metres, A can beat B by 40 metres.
In a race of 500 metres, B can beat C by 5 metres.
In a race of 200 metres, A can beat C by

A
11.9 metres
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B
1.19 metres
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C
12.74 metres
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D
1.27 metres
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Solution

The correct option is A 11.9 metres
When A runs 800 meters, B runs 760 meters and when B runs 500 meters, C runs 495 meters.

, when B runs 760 meters, the distance that C runs =(760×495)500=376,200500=752.4 meters.

So, in a race of 800 meters, A beats C by (800752.5)=47.5 meters to C.

So, in a race of 200 meters, the number of meters by Which A beats C=(200×47.5)800=11.87511.9 meters.

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