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      Question

      A and B together can complete a piece of work in

      25 days while A alone can complete 50% of the work in 50 days. Find the time taken by B to complete 66% of the work.
      A 37 days Correct Answer Incorrect Answer
      B 36 days Correct Answer Incorrect Answer
      C 32 days Correct Answer Incorrect Answer
      D 22 days Correct Answer Incorrect Answer

      Solution

      Time taken by A to complete the whole work = 50/0.50 = 100 days
      Let total work = 100 units
      Amount of work done by A and B together in one day = 100/25 = 4 units
      Amount of work done by A alone in one day = 100/100 = 1 units
      Amount of work done by B in one day = 4 – 1 = 3 units
      Desired time = 0.66 × 100/3 = 22 days

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