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      Question

      β€˜A’ and β€˜B’ can do a piece of work in 15 days

      and 18 days, respectively. They started working together but β€˜A’ left after 5 days. Find the time taken by β€˜B’ to complete the remaining work.
      A 4 days Correct Answer Incorrect Answer
      B 2 days Correct Answer Incorrect Answer
      C 5 days Correct Answer Incorrect Answer
      D 7 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 90 units (LCM of 15 and 18). Efficiency of β€˜A’ = 90/15 = 6 units/day Efficiency of β€˜B’ = 90/18 = 5 units/day Amount of work done by β€˜A’ and β€˜B’ together in 5 days = (6 + 5) Γ— 5 = 55 units Time taken by B to complete remaining work = {(90 – 55)/5} = 7 days

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