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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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