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Discussion :: Time and Work

  1. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

  2. A.
    9 1/5 days
    B.
    9 2/5 days
    C.
    9 3/5 days
    D.
    10

    View Answer

    Workspace

    Answer : Option C

    Explanation :

    (A + B + C)'s 1 day's work = 1 ,
    4
    A's 1 day's work = 1 ,
    16
    B's 1 day's work = 1 .
    12
    Therefore C's 1 day's work = 1 - 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 1-sym-oparen-h1 1 - 7 1-sym-cparen-h1 = 5 .
    4 16 12 4 48 48
    So, C alone can do the work in 48 = 9 3 days.
    5 5


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