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      Question

      162 unit of work can be completed by P alone in 27 days.

      P started working alone and joined by Q after 12 days such that they completed the remaining work in 5 days. Find the number of days taken by Q to complete the whole work alone.
      A 37.5 days Correct Answer Incorrect Answer
      B 46 days Correct Answer Incorrect Answer
      C 13.5 days Correct Answer Incorrect Answer
      D 14 days Correct Answer Incorrect Answer
      E 12 days Correct Answer Incorrect Answer

      Solution

      Let the efficiency of Q = x units/day Efficiency of P = (162/27) = 6 units/day According to question: 6 × 12 + (6 + x) × 5 = 162 Or, 72 + 30 + 5x = 162 Or, 5x = 162 – 102 Or, 5x = 60 Or, x = 12 Number of days taken by Q to complete the work alone = (162/12) = 13.5 days

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