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      Question

      ‘P’ who is 20% more efficient than ‘Q’ can

      finish a work in 15 days. ‘P’ and ‘Q’ start working together, but ‘Q’ leaves after 6 days. The remaining work is completed by ‘P’ alone in ‘y’ days. Find the value of ‘y’.
      A 10 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Time taken by ‘Q’ to complete the work = 1.2 × 15 = 18 days

      Let the total work be 90 units

      Efficiency of ‘P’ = 90/15 = 6 units/day

      Efficiency of ‘Q’ = 90/18 = 5 units/day

      Work completed by ‘P’ and ‘Q’ in 6 days = (6 + 5) × 6 = 66 units

      Therefore, y = (90 – 66)/6 = 4

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