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      Question

      A and B can complete a work together in 20 days. If A

      alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by B alone in 3x days, then find the value of x.
      A 12.5 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 7.5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Time taken by A to complete the work = (x × 4) = 4x days Time taken by B to complete the work = (3x × 4/3) = 4x days According to question, => (1/4x) + (1/4x) = 1/20 => (1 + 1)/4x = 1/20 => 4x = 40 => x = 10

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