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      Question

      ‘A’ and ‘B’ can do a piece of work in 18 days

      and 25 days, respectively. They started working together but ‘A’ left after 9 days. Find the time taken by ‘B’ to complete the remaining work.
      A 5.5 days Correct Answer Incorrect Answer
      B 6.5 days Correct Answer Incorrect Answer
      C 2.5 days Correct Answer Incorrect Answer
      D 3.5 days Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 450 units (LCM of 18 and 25). Efficiency of ‘A’ = 450/18 = 25 units/day Efficiency of ‘B’ = 450/25 = 18 units/day Amount of work done by ‘A’ and ‘B’ together in 9 days = (25 + 18) × 9 = 387 units Time taken by B to complete remaining work = {(450 – 387)/18} = 3.5 days

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