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Discussion :: Time and Work

  1. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

  2. A.
    5 days
    B.
    6 days
    C.
    10 days
    D.
    10 1/2 days

    View Answer

    Workspace

    Answer : Option C

    Explanation :

    (B + C)'s 1 day's work = 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 7 .
    9 12 36
    Work done by B and C in 3 days = 1-sym-oparen-h1 7 x 3 1-sym-cparen-h1 = 7 .
    36 12
    Remaining work = 1-sym-oparen-h1 1 - 7 1-sym-cparen-h1 = 5 .
    12 12
    Now, 1 work is done by A in 1 day.
    24
    So, 5 work is done by A in 1-sym-oparen-h1 24 x 5 1-sym-cparen-h1 = 10 days.
    12 12


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