Question 77

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

Solution

Let total work to be done = 100 units

A can complete the work in 20 days

=> A's efficiency = $$\frac{100}{20}=5$$ units/day

Similarly, B's efficiency = $$\frac{100}{25}=4$$ units/day

Thus, (A+B)'s 1 day's work = $$5+4=9$$ units/day

=> Work done by them together in 3 days = $$3\times9=27$$ units

$$\therefore$$ % of work completed = $$\frac{27}{100}\times100=27\%$$

=> Ans - (D)

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