In How Many Days can They Complete the Work? If

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?

  1. 55/11
  2.  60/11
  3.  71/11
  4.  72/11
Desire Adnan Default Asked on 5th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 60/11
    Explanation:-
    P can complete the work  in working  8 hours a day  = 12 days
    Then, P can do the work in working a hour in a day = 1/12 x 8
    = 1/96

    Q can complete the work in working 10 hour in a day = 8 days
    Then, Q can do the work in working in 1 hour in a day = /8 x 10
    = 1/80

    P and Q  can do work together 8 hour in day = (1/96 + 1/80) x 8
    = ( 5 + 6) x 8/480
    = 11/60
    Then, they can complete the work  = 60/11 days  days
    Hence, the answer is (2) 60/11

    Anurag Mishra Professor Answered on 5th August 2015.
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