Question 54

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

Solution

Let total project to be done = 300 units

P's efficiency = $$\frac{300}{150} = 2$$ units/day

Q's efficiency = $$\frac{300}{100} = 3$$ units/day

60% of the work = $$\frac{60}{100} \times 300 = 180$$ units

(P + Q)'s 1 day's efficiency = 2 + 3 = 5 units/day

$$\therefore$$ Time taken by them to complete 60% of the work together = $$\frac{180}{5} = 36$$ days

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