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      Question

      A and B together can complete a piece of work in

      12 days while A alone can complete 70% of the work in 14 days. Find the time taken by B to complete 80% 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 24 days Correct Answer Incorrect Answer
      E 10 days Correct Answer Incorrect Answer

      Solution

      Time taken by A to complete the whole work = 14/0.70 = 20 days
      Let total work = 60 units
      Amount of work done by A and B together in one day = 60/12 = 5 units
      Amount of work done by A alone in one day = 60/20 = 3 units
      Amount of work done by B in one day = 5 – 3 = 2 units
      Desired time = 0.80 × 60/2 = 24 days

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