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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