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      Question

      During a 1.2 km race, runner 'P' gives runner 'Q' a start

      of 200 metres but still wins by 100 metres. If 'Q' completes the race in 12 minutes, determine the time taken by 'P'.
      A 2 mins Correct Answer Incorrect Answer
      B 9 mins Correct Answer Incorrect Answer
      C 14 mins Correct Answer Incorrect Answer
      D 10 mins Correct Answer Incorrect Answer

      Solution

      ATQ,

      Distance covered by 'Q' when 'P' finishes 1200 m = 1200 - 200 - 100 = 900 m

      Speed ratio (P : Q) = 1200 : 900 = 4 : 3

      Time ratio = 3 : 4

      Time taken by P = (12/4) Γ— 3 = 9 minutes

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