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    Question

    In a 500-meter race, competitor

    'P' runs at a speed of 18 km/h and allows a head start of 25 meters to competitor 'Q,' who eventually beats 'P' by 5 seconds. Determine the speed of 'Q'.
    A 5 m/s Correct Answer Incorrect Answer
    B 8 m/s Correct Answer Incorrect Answer
    C 12 m/s Correct Answer Incorrect Answer
    D 24 m/s Correct Answer Incorrect Answer

    Solution

    ATQ; Speed of 'P' = (5/18)×18 = 5 m/s Time taken by P to cover 500 metres = 500/5 = 100 sec's Distance travelled by Q = (500 - 25) = 475 metres Time taken by Q to cover 475 metres = (100 - 5) = 95 seconds So, speed of Q = 475/95 = 5 m/s

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