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Question 89

Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how many days can they together do the job?

Let total work to be done = 90 units

Work done by Peeyush in 30 days = $$\frac{1}{3} \times 90 = 30$$ units

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

Remaining work = 90 - 30 = 60 units

Sanjiv completes 60 units in 60 days

=> Sanjiv's efficiency = $$\frac{60}{60} = 1$$ unit/day

(Peeyush + Sanjiv)'s 1 day's work = 1 + 1 = 2 units/day

$$\therefore$$ Time taken by them together to do the job = $$\frac{90}{2} = 45$$ days

=> Ans - (B)

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