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    Question

    In a 50 km race, R, S, and T are running at uniform speed.

    If ‘R’ beats ‘S’ by 10 km, and ‘S’ beats ‘T’ by 6 km, then by how many metres does ‘R’ beat ‘T’?
    A 19200 m Correct Answer Incorrect Answer
    B 12550 m Correct Answer Incorrect Answer
    C 14800 m Correct Answer Incorrect Answer
    D 17400 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    When ‘R’ covers 50 km, ‘S’ will cover 40 km

    Similarly, when ‘S’ covers 50 km, ‘T’ covers 44 km

    Therefore, when ‘S’ covers 40 km, then ‘T’ will cover = (40 × 44) / 50 = 35.2 km

    Therefore, ‘R’ will beat ‘T’ by = 50 – 35.2 = 14.8 km = 14800 metres

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