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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?

a) 7.25
b) 7.15
c) 7.85
d) 7.03

Answer: c
Explanation: 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.
A will beat C by (100 – 92.15) = 7.85 meters.

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