Question
In a 200-metre race, runner A can give runner B a 20-metre
head start and still finish at the same time. Similarly, runner B can give runner C a 10-metre head start and still finish at the same time. If runners A and C start the 200-metre race together from the same starting point, by how many metres will A beat C?Solution
Ratio of speed of A:B = 200:180 = 10:9
Ratio of speed of B:C = 200:190 = 20:19
So, ratio of speed of A:B:C = 200:180:171
So, A beats C by 29 metres.
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