Subject

    Bank Exam

    Topic

    পূবালী ব্যাংক লিমিটেড (সিনিয়র অফিসার) - ৩০.০৯.২০২৩

    A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

    ক)
    4 days
    খ)
    6 days
    গ)
    8 days
    ঘ)
    12 days

    Explanation

    Let A, B and C take x, x/2 and x/3 days respectively to finish the work. Now (1/x) + (2/x) + (3/x) = 1/2 ⇒ (1 + 2 + 3)/x = 1/2 ⇒ 6/x = 1/2 ⇒ x = 12 So, B takes to finish the work = 12/2 = 6 days

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