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    • Question

      In a 15 km race, X, Y, and Z are running at uniform speed.

      If ‘X’ beats ‘Y’ by 3 km, and ‘Y’ beats ‘Z’ by 2 km, then by how many metres does ‘X’ beat ‘Z’?
      A 4600 m Correct Answer Incorrect Answer
      B 2550 m Correct Answer Incorrect Answer
      C 3110 m Correct Answer Incorrect Answer
      D 5900 m Correct Answer Incorrect Answer

      Solution

      ATQ,

      When ‘X’ covers 15 km, ‘Y’ will cover 12 km

      Similarly, when ‘Y’ covers 15 km, ‘Z’ covers 13 km

      Therefore, when ‘Y’ covers 12 km, then ‘Z’ will cover = (12 × 13) / 15 = 10.4 km

      Therefore, ‘X’ will beat ‘Z’ by = 15 – 10.4 = 4.6 km = 4600 metres

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