Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A runs 12/3times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

    ক)
    200 m
    খ)
    300 m
    গ)
    270 m
    ঘ)
    160 m

    Explanation

    Ratio of the speeds of A and B = 5/3 : 1 = 5:3. Thus, in race of  5m, A gains 2m over B. 2 m are gained by A in a race of 5m. 80 m will be gained by A in race of {(5/2)×80}m = 200 m. So, Winning post is 200 m away from the starting point.

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