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      Question

      ‘A’ and ‘B’ can do a piece of work in 10 days

      and 15 days, respectively. They started working together but ‘A’ left after 3 days. Find the time taken by ‘B’ to complete the remaining work.
      A 6.5 days Correct Answer Incorrect Answer
      B 2.5 days Correct Answer Incorrect Answer
      C 5.5 days Correct Answer Incorrect Answer
      D 7.5 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 30 units (LCM of 10 and 15). Efficiency of ‘A’ = 30/10 = 3 units/day Efficiency of ‘B’ = 30/15 = 2 units/day Amount of work done by ‘A’ and ‘B’ together in 3 days = (3 + 2) × 3 = 15 units Time taken by B to complete remaining work = {(30 – 15)/2} = 7.5 days

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