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      Question

      114 unit of work can be completed by P alone in 19 days.

      P started working alone and joined by Q after 10 days such that they completed the remaining work in 6 days. Find the number of days taken by Q to complete the whole work alone.
      A 9 days Correct Answer Incorrect Answer
      B 30 days Correct Answer Incorrect Answer
      C 22 days Correct Answer Incorrect Answer
      D 38 days Correct Answer Incorrect Answer

      Solution

      Let the efficiency of Q = x units/day Efficiency of P = (114/19) = 6 units/day According to question: 6 × 10 + (6 + x) × 6 = 114 Or, 60 + 36 + 6x = 114 Or, 6x = 114 – 96 Or, 6x = 18 Or, x = 3 Number of days taken by Q to complete the work alone = (114/3) = 38 days

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