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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