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      Question

      In a 2 km race, 'X' allows 'Y' a lead of 400 metres, but

      still beats him by 200 metres. If 'Y' finishes the race in 20 minutes, how much time does 'X' take to finish?
      A 12 mins Correct Answer Incorrect Answer
      B 18 mins Correct Answer Incorrect Answer
      C 14 mins Correct Answer Incorrect Answer
      D 25 mins Correct Answer Incorrect Answer

      Solution

      ATQ,

      Distance covered by 'Y' when 'X' covers 2000 m = 2000 - 400 - 200 = 1400 m

      Ratio of speeds (X : Y) = 2000 : 1400 = 10 : 7

      Time ratio = 7 : 10

      Time taken by X = (20/10) Γ— 7 = 14 minutes

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