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Discussion :: Time and Work

  1. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

  2. A.
    23 days
    B.
    37 days
    C.
    371-div-1by2
    D.
    40 days

    View Answer

    Workspace

    Answer : Option C

    Explanation :

    Whole work is done by A in 1-sym-oparen-h1 20 x 5 1-sym-cparen-h1 = 25 days.
    4
    Now, 1-sym-oparen-h1 1 - 4 1-sym-cparen-h1 i.e., 1 work is done by A and B in 3 days.
    5 5

    Whole work will be done by A and B in (3 x 5) = 15 days.

    A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
    25 15
    Therefore B's 1 day's work = 1-sym-oparen-h1 1 - 1 1-sym-cparen-h1 = 4 = 2 .
    15 25 150 75
    So, B alone would do the work in 75 = 37 1 days.
    2 2


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