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In a 1-kilometre race, A can beat B by 30 meters, while in a 500-meter race B can beat C by 25 meters. By how many meters will A beats C in a 100-meter race?

In a 1-kilometre race, A can beat B by 30 meters, while in a 500-meter race B can beat C by 25 meters. By how many meters will A beats C in a 100-meter race? Correct Answer 7.85

When A runs 100 meters, B runs 970 meters.Hence, when A runs 100 meter, b runs 97 meter.When B runs 500 meter, C runs 475 meter.When B runs 97 meter, C runs, $$\frac{{475 \times 97}}{{500}}$$   = 92.15 meter.Hence, A will beat C by (100 - 92.15) = 7.85 meters.

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