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Discussion :: Time and Work

  1. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

  2. A.
    4 days
    B.
    6 days
    C.
    8 days
    D.
    12 days

    View Answer

    Workspace

    Answer : Option C

    Explanation :

    (A + B + C)'s 1 day's work = 1 ;
    6
    (A + B)'s 1 day's work = 1 ;
    8
    (B + C)'s 1 day's work = 1 .
    12
    Therefore (A + C)'s 1 day's work
    = 1-sym-oparen-h1 2 x 1 1-sym-cparen-h1 - 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1
    6 8 12
     
    = 1-sym-oparen-h1 1 - 5 1-sym-cparen-h1
    3 24
     
    = 3
    24
     
    = 1 .
    8


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