Subject

    Quantitative Aptitude

    Topic

    Time and Work

    A tank has a leak which would empty the tank in 16 hours. If the tank is full of water and a tap is turned on which admits 4 liters a minute into the tank, and it is now emptied in 48 hours. How many liters does the tank hold?

    ক)
    5760 litres
    খ)
    6000 litres
    গ)
    7200 litres
    ঘ)
    6800 litres
    ঙ)
    None of these

    Explanation

    Let the capacity of the tank be x litres, According to the given information, Quantity of water emptied by the leak in 1 hour = (x/16) litres Quantity of water filled by the tap in 1 hour = 4 × 60 = 240 litres When both the taps are turned on, quantity of water emptied by the tank in one hour = (x/48) litres According to the Question, x16  −240=  x48⇒  3x−x48=240⇒x=240×482\begin{array}{l} \frac{x}{{16}}\; - 240 = \;\frac{x}{{48}}\\ \Rightarrow \;\frac{{3x - x}}{{48}} = 240\\ \Rightarrow x = \frac{{240 \times 48}}{2} \end{array} ⇒ x = 5760 litres Hence, the tank holds 5760 liters of water.
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