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    Question

    In a 1,200-meter race between 'A' and 'B', 'A' gives 'B' a

    head start of 48 meters. Both 'A' and 'B' finish the race simultaneously. If 'B's speed is 6 m/s, what is the speed of 'A'?
    A 6.25 m/sec Correct Answer Incorrect Answer
    B 7/5 m/sec Correct Answer Incorrect Answer
    C 8 m/sec Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    Distance covered by 'A' = 1,200 metres

    Distance covered by 'B' = 1200 - 48 = 1,152 metres

    Since, both 'A' and 'B' takes same time to finish the race.

    So, the time is constant, which means,

    Speed тИЭ Distance

    So, the ratio of speed of 'A' to that of 'B' = (Distance covered by 'A') :(Distance covered by 'B') = 1200:1152 = 25:24

    So, the speed of 'A' = (25/24) X 6 = 6.25 m/s

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