A and B together can complete a piece of work in 16 days. B alone can complete the same work in 24 days. In how many days can A alone complete the same work

  • 34 days
  • 50 days
  • 48 days
  • 42 days
  • None of these
  • Explanation:

    Let A can complete the same work in x days.

    ∴ A's 1 day's work = 1/x

    B'x 1 day's work = 1/24

    According to question,

    1/x+1/24=1/16

    24+x/24x=1/16

    16×24+16x=24x

    384=24x-16x

    x=384/8= 48 days

     

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A and B together can complete a piece of work in 16 days. B alone can complete the same work in 24 d
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