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      Question

      P works thrice as fast as Q, whereas P and Q together

      can work four times as fast as R. If P&Q and R together work on a job, in what ratio should they share the earnings?
      A 3 : 1 : 1 Correct Answer Incorrect Answer
      B 3 : 2 : 4 Correct Answer Incorrect Answer
      C 4 : 3 : 4 Correct Answer Incorrect Answer
      D 3 : 1 : 4 Correct Answer Incorrect Answer

      Solution

      Let’s take

      Q’s work rate = 1 unit/day

      P’s work rate = 3 units/day

      So together, P + Q = 3 + 1 = 4 units/day

      P and Q together work 4 times as fast as R

      So R's work rate = (P + Q) / 4 = 4 / 4 = 1 unit/day


      Now, we find total work rate of (P + Q) and R together:

      (P + Q + R) = 4 (from above) + 1 = 5 units/day

      So they should share the earnings in the ratio of their contributions:

      P contributes: 3 units/day, Q contributes: 1 unit/day & R contributes: 1 unit/day
      Therefore, the earnings should be divided in the ratio = P : Q : R = 3 : 1 : 1

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