Question 77

Amar can complete a work in 30 days and Raman can complete the same work in 15 days. If both of them work together, then in 4 days what percent of the total work will be completed?

Solution

Let total work to be done = 30 units

Amar can complete the work in 30 days

=> Amar's efficiency = $$\frac{30}{30}=1$$ unit/day

Similarly, Raman's efficiency = $$\frac{30}{15}=2$$ units/day

Thus, (Amar+Raman)'s 1 day's work = $$1+2=3$$ units/day

=> Work done by them together in 4 days = $$4\times3=12$$ units

$$\therefore$$ % of work completed = $$\frac{12}{30}\times100$$

= $$4\times10=40\%$$

=> Ans - (C)

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