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Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?

Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work? Correct Answer 84 days

Given:

Anil, Deepak and Dinesh together can complete a work in 35 days.

Anil and Dinesh together can complete the same work in 60 days

Calculation:

Let Deepak alone can complete the same work in ‘y’ days

Work done by Deepak in 1 day = 1/y units

Anil and Dinesh together can complete the same work in 60 days

Work done by Anil and Dinesh in 1 day = 1/60 units

⇒ 1/60 + 1/y = 1/35

⇒ 35 × (y + 60) = 60y

⇒ 25y = 2100

⇒ y = 84 days

∴ Deepak alone can complete the same work in 84 days.

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