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      Question

      A and B can complete a task together in 26 days, while B

      alone takes 52 days to finish it. A began working alone and left after ‘x’ days, after which B completed the remaining work in 39 days. Determine the percentage of the total work completed by A.
      A 25% Correct Answer Incorrect Answer
      B 15% Correct Answer Incorrect Answer
      C 20% Correct Answer Incorrect Answer
      D 40% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 52 units
      Efficiency of (A + B) = 52/26 = 2 units/day
      Efficiency of ‘B’ = 52/52 = 1 unit/day
      Amount of work done by ‘B’ = 39 × 1 = 39 units
      Percentage of work done by ‘A’ = {(52 – 39)/52} × 100 = 25%

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