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  • Question
  • 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 ?


  • Options
  • A. 5 (2/3)
  • B. 6 (3/4 )
  • C. 4 (1/2)
  • D. 3

  • Correct Answer
  • 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.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    More questions

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    • Options
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    • C. x=y, or relation cannot be established between x and y
    • D. x ? y
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    • 2. What should come in place of question mark (?) in the following question? 115 ÷ 5 + 12 × 6 = ? + 64 ÷ 4 - 35

    • Options
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    • C. 102
    • D. 74
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    • Options
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