Question
In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Answer: Option A
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By the time A covers 1000 m, B covers (1000 - 50) = 950 m.By the time B covers 1000 m, C covers (1000 - 100) = 900 m. So, the ratio of speeds of A and C = 1000/950 * 1000/900 = 1000/855 So, by the time A covers 1000 m, C covers 855 m. So in 1000 m race A beats C by 1000 - 855 = 145 m.
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