Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    In a stream running at 2 km/h a racing boat goes 32 km upstream and back again to the starting point in 12 hours. Find the speed of the racing boat in still water.

    ক)
    6 km/h
    খ)
    8 km/h
    গ)
    10 km/h
    ঘ)
    11 km/h
    ঙ)
    None of these

    Explanation

    Let speed of boat in still water = a km/hr Then, Speed of boat in Upstream = a - 2 km/hr Speed of boat in downstream = a+2 km/hr Then we have 32a+2+32a−2=12\frac{{32}}{{a + 2}} + \frac{{32}}{{a - 2}} = 12 ⇒ (32 × 2a) / (a 2 – 4) = 12 16a = 3a 2 - 12 On solving, we get a = 6 Hence, speed of racing boat in still water is 6 km/hr

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