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    Question

    In a 25 km race, P, Q, and R are running at uniform speed.

    If ‘P’ beats ‘Q’ by 5 km, and ‘Q’ beats ‘R’ by 3 km, then by how many metres does ‘P’ beat ‘R’?
    A 4600 m Correct Answer Incorrect Answer
    B 2550 m Correct Answer Incorrect Answer
    C 3110 m Correct Answer Incorrect Answer
    D 7400 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    When ‘P’ covers 25 km, ‘Q’ will cover 20 km

    Similarly, when ‘Q’ covers 25 km, ‘R’ covers 22 km

    Therefore, when ‘Q’ covers 20 km, then ‘R’ will cover = (20 × 22) / 25 = 17.6 km

    Therefore, ‘P’ will beat ‘R’ by = 25 – 17.6 = 7.4 km = 7400 metres

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