Question
The efficiency of P is 20% more than the efficiency of
Q, and the efficiency of R is 80% of the efficiency of Q. If P starts with 5/4 of his efficiency along with Q, and after y days, P leaves the work, and R joins Q. The remaining work is completed by Q and R together in 3y days. From the information provided in the above question, which of the following can be determined? A) Find the value of y B) P and Q together can complete the work C) P, Q, and R together can complete 50% of the workSolution
Answer: E Efficiency of Q = 5z Efficiency of P = 5z × 120/100 = 6z Efficiency of R = 5z × 80/100 = 4z If the efficiency of P is 5/4 = 6z × 5/4 = 7.5z Work done: 7.5z × y + 5z × 3y + 4z × 3y = 1 (whole work) Nothing can be determined without the value of y or z.
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