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      Question

      P, Q and R, when working individually, can complete a

      job in, respectively, 36 days, 48 days and 144 days. P, Q and R start working together. P leaves the job 12 days before completion and Q leaves the job 8 days before completion. R works from the beginning till the end of the job. Determine the total number of days taken to complete the job.
      A 24 Correct Answer Incorrect Answer
      B 27 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer

      Solution

      If P had not left the work 12 days ago then he would have worked =12×4=48unit Similarly, if Q had not left the work 8 days ago then he would have worked=8×3=24unit Now total work =144+48+24=216 unit Total number of days taken to complete work =216/8 =27 days.

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