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      Question

      P, Q and R together can complete a task in 12 days. Q and R

      together can finish it in (72/5) days, and R alone can do half the task in 8 days. What is the efficiency ratio of P to Q?
      A 4:5 Correct Answer Incorrect Answer
      B 2:1 Correct Answer Incorrect Answer
      C 1:3 Correct Answer Incorrect Answer
      D 3:7 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      1/P + 1/Q + 1/R = 1/12

      R alone completes the whole task = 8 * 2 = 16 days

      1/P = 1/12 – 5/72 = (6 – 5)/72 = 1/72

      1/Q = 5/72 – 1/16 = (10 – 9)/144 = 1/144

      P alone completes the task = 72 days

      Q alone completes the task = 144 days

      Required ratio = (1/72) : (1/144) = 2 : 1

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