Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    A boat goes 16 km in 2 hour along the stream and for same distance boat takes 4 hour opposite the stream. What is speed of boat in still water = ?

    ক)
    4 km/hour
    খ)
    6 km/hour
    গ)
    8 km/hour
    ঘ)
    Data is insufficient
    ঙ)
    None of these

    Explanation

    Let the speed of boat in still water = x km/hour and speed of stream = Y km/hour. ∴ speed along the stream ⇒ x+y=1628  km/hourx + y = \frac{{16}}{2}8\;km/hour --- (i) & speed along the opposite stream ⇒x−y=164=4  km/hour\Rightarrow x - y = \frac{{16}}{4} = 4\;km/hour --- (ii) ∴ speed of boat in still water– (i) + (ii) ⇒ 2x = (8 + 4) km/hour ⇒  x=12×12=6  km/hour\Rightarrow {\rm{\;}}x = \frac{1}{2} \times 12 = 6\;km/hour

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