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      Question

      โ€˜Aโ€™ and โ€˜Bโ€™ can do a piece of work in 18 days

      and 25 days, respectively. They started working together but โ€˜Aโ€™ left after 9 days. Find the time taken by โ€˜Bโ€™ 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 โ€˜Aโ€™ = 450/18 = 25 units/day Efficiency of โ€˜Bโ€™ = 450/25 = 18 units/day Amount of work done by โ€˜Aโ€™ and โ€˜Bโ€™ together in 9 days = (25 + 18) ร— 9 = 387 units Time taken by B to complete remaining work = {(450 โ€“ 387)/18} = 3.5 days

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