Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A boat covers a certain distance downstream in 1 hour, while it comes back in 1.5 hour. If the speed of the stream be 3 km/hr, what is the speed of the boat in still water?

    ক)
    12 km/hr
    খ)
    9.5 km/hr
    গ)
    14 km/hr
    ঘ)
    7.5 km/hr
    ঙ)
    None of these

    Explanation

    Let the speed of the boat in still water be x km/hr Speed downstream = (x + 3) km/hr Speed upstream = (x − 3) km/hr Distance of downstream = Distance of Upstream ∴ (x + 3) × 1 = (x − 3) × 1.5 ⇒ x + 3 = 1.5x – 4.5 ⇒ 0.5x = 7.5 km/hr ⇒ x = 15 km/hr

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