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    Subject

    Quantitative Aptitude

    Topic

    Unitary Method

    A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for half the time, and A and B fill it together for the other half?

    ক)
    30minutes
    খ)
    40 minutes
    গ)
    42minutes
    ঘ)
    57minutes

    Explanation

    Let the total time be x mins. Part filled in first half means in x/2 = 1/40 Part filled in second half means in x/2 = (1/60 + 1/40) = 1/24 Now, (x/2 * 1/40) + (x/2 + 1/24) = 1 x/2 * (1/40 + 1/24) = 1 x/2 * 1/15 = 1 x = 30 mins

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