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Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ?

  • 1
    5 (2/3)
  • 2
    6 (3/4 )
  • 3
    4 (1/2)
  • 4
    3
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Answer : 3. "4 (1/2)"
Explanation :

Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.    Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9    They would take 9/2 days = 4 (1/2) days to complete the work working together.

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