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In a 200 m race, A beats B by 20 m. In another 100 m race, B beats C by 10 m. By how many meters does A beat C in a 200 m race?
AWorking: A:B = 200:180; B:C = 100:90. So A:B:C with same time scaling... B in 180m = C in 162m. So A in 200m vs C: C has covered 162m. A beats C by 38m.
B38 m
C40 m
D30 m
Answer & Solution
Correct answer: B. 38 m
In 200m race, when A finishes 200m, B has run 180m (since A beats B by 20m). In a 100m race, when B runs 100m, C has run 90m. So time ratio B:C = 100:90, i.e., when B runs 180m, C runs 180×90/100 = 162m. Thus when A finishes 200m, C is at 162m. A beats C by 200-162 = 38m.
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