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    Question

    In a 800 metres race, Tanya beats Ravi by 160 metres and

    Sumit by 240 metres. By how many metres does Ravi beat Sumit in the same race?
    A 100 m Correct Answer Incorrect Answer
    B 180 m Correct Answer Incorrect Answer
    C 160 m Correct Answer Incorrect Answer
    D 200 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    When Tanya runs 800 metres, Ravi runs (800 – 160 = 640 metres)

    When Tanya runs 800 metres, Sumit runs (800 – 240 = 560 metres)

    So, the ratio of the distance covered by Tanya, Ravi, and Sumit when Tanya runs 800 metres respectively:

    = 800:640:560 = 20:16:14

    Distance covered by Sumit when Ravi completes 800 m = (800/16) × 14 = 700 metres

    Therefore, Ravi beats Sumit by (800 – 700 = 100 metres)

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