Subject

    Bank Exam

    Topic

    Exim Bank Trainee Officer 2016

    Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If a is open all the time and B and C are open for one hour each alternately, the tank will be full in:

    ক)
    6.0 hrs
    খ)
    6.5 hrs
    গ)
    7.5 hrs
    ঘ)
    None

    Explanation

    (A + B)'s 1 hour's work = (1/12 + 1/15) = 9/60 = 3/20. (A + C)'s hour's work =(1/12 + 1/20) = 8/60 = 2/15. Part filled in 2 hrs = (3/20 + 2/15) = 17/60. Part filled in 6 hrs = (3 x 17/60) = 17/20. Remaining part =(1 – 17/20) = 3/20. Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour. Therefore, Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.

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