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Discussion :: Time and Work

  1. A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
  2. A.
    160/11 days
    B.
    125/14 days
    C.
    180/13 days
    D.
    120/11 days

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    Answer : Option C

    Explanation :

    One day work of A and B = 1/12
    One day work of B and C = 1/30
    One day work of C and A = 1/36
    2(A + B + C) = 1/12 + 1/30 + 1/36
    2(A + B + C) = 13/90
    (A + B + C) = 13/180
    Number of days required = 180/13 days.


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