Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

    ক)
    2:1
    খ)
    3:2
    গ)
    8:3
    ঘ)
    Cannot be determined

    Explanation

    Let the man’s rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hTk. => x × 8(4/5) = (y×4) => (44/5)x = 4y => y = (11/5)x so, Required ratio = (y+x)/2 : (y-x)/2 = {(16x/5)×(1/2)} :{ (6x/5)×(1/2)} = 8/5 : 3/5 = 8:3

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