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Discussion :: Time and Work

  1. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

    2. A.
    5 5/11
    B.
    5 6/11
    C.
    6 5/11
    D.
    6 6/11

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    Workspace

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    Answer : Option A

    Explanation :

    P can complete the work in (12 x 8) hrs. = 96 hrs.

    Q can complete the work in (8 x 10) hrs. = 80 hrs.

     P's1 hour's work = 1 and Q's 1 hour's work = 1 .
    96 80
    (P + Q)'s 1 hour's work = 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 11 .
    96 80 480
    So, both P and Q will finish the work in 1-sym-oparen-h1 480 1-sym-cparen-h1 hrs.
    11
     Number of days of 8 hours each = 1-sym-oparen-h1 480 x 1 1-sym-cparen-h1 = 60 days = 5 5 days.
    11 8 11 11

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