Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    If a boat goes upstream for 3 hours, it covers same distance as when it goes downstream for 2 hours. What is the ratio of speed of boat in still water to speed of stream?

    ক)
    3 : 1
    খ)
    4 : 1
    গ)
    5 : 1
    ঘ)
    7 : 2
    ঙ)
    9 : 4

    Explanation

    Let the speed of stream be V km/hr and speed of boat in still water be U km/hr. Upstream speed = (U – V) km/hr Downstream speed = (U + V) km/hr Distance covered upstream in 3 hours = Distance covered downstream in 2 hours ⇒ 3(U – V) = 2(U + V) ⇒ 3U – 3V = 2U + 2V ⇒ U = 5V ⇒ U/V = 5 : 1 ∴ Ratio of speed of boat in still water to speed of stream is 5:1.

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