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      Question

      A and B together can do a work in 10 days. A alone can

      do it in 15 days. In how many days can B alone do it?
      A 30 days Correct Answer Incorrect Answer
      B 22 days Correct Answer Incorrect Answer
      C 33 days Correct Answer Incorrect Answer
      D 19 days Correct Answer Incorrect Answer

      Solution

      Let total work = 1. Aโ€™s 1-day work = 1/15 (A + B)โ€™s 1-day work = 1/10 So Bโ€™s 1-day work = 1/10 โˆ’ 1/15 LCM(10,15) = 30 1/10 = 3/30, 1/15 = 2/30 Bโ€™s 1โ€‘day work = (3 โˆ’ 2)/30 = 1/30 So B alone can do the work in 30 days.

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