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?

Solution

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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