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      Question

      A and B together can complete a piece of work in 15 days

      while A alone can complete 40% of the work in 24 days. Find the time taken by B to complete 75% of the work.
      A 17 days Correct Answer Incorrect Answer
      B 16 days Correct Answer Incorrect Answer
      C 15 days Correct Answer Incorrect Answer
      D 12 days Correct Answer Incorrect Answer

      Solution

      Time taken by A to complete the whole work = 24/0.40 = 60 days Let total work = 60 units Amount of work done by A and B together in one day = 60/15 = 4 units Amount of work done by A alone in one day = 60/60 = 1 units Amount of work done by B in one day = 4 – 1 = 3 units Desired time = 0.75 × 60/3 = 15 days

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