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      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?
      A 21 m Correct Answer Incorrect Answer
      B 24 m Correct Answer Incorrect Answer
      C 27 m Correct Answer Incorrect Answer
      D 29 m Correct Answer Incorrect Answer

      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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