Subject

    Quantitative Aptitude

    Topic

    Fraction

    A water tank is two fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

    ক)
    6 min. to empty
    খ)
    6 min. to fill
    গ)
    9 min. to empty
    ঘ)
    9 min. to fill

    Explanation

    Clearly, pipe B is faster than pipe A and so, the tank will be emptied. Part to be emptied = 2/5 Part emptied by (A + B) in 1 minute = 1/6 - 1/10 = 1/15 ∴ 1/15 : 2/5 :: 1 : x ⇒ x = 2/5 ×1 ×15 = 6 So, tank will be emptied in 6 min.

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