Question 16
P and Q agree to do a job for Rs.850. Q alone can do it in 40 days. But P is twice as fast as Q. In order to finish the job earlier, they take the help of R and all three finish the work in 8 days. How much should R be paid for his work?
Solution
P is twice as fast as Q
efficiency of P = 2
efficiency of Q = 1
with the help of R they complete the job in 8 days
efficiency of P + Q + R = 2 + 1 + 2 = 5
earning per person per day = $$ \frac{850}{5} = 170 $$
So R's earned = $$ 2 \times 170 = 340 $$
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