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      Question

      ‘A’ and ‘B’ can do a piece of work in 20 days

      and 40 days, respectively. If they started the work together and worked on it for 6 days, then find the time taken by ‘B’ alone to complete the remaining work.
      A 20 days Correct Answer Incorrect Answer
      B 25 days Correct Answer Incorrect Answer
      C 27 days Correct Answer Incorrect Answer
      D 22 days Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 40 units  Efficiency of ‘A’ = 40/20 = 2 units/day Efficiency of ‘B’ = 40/40 = 1 units/day Amount of work done by ‘A’ and ‘B’ together in 6 days = (2 + 1) × 6 = 18 units Time taken by B to complete remaining work = (40 – 18)/1 = 22 days

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