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Sunil, Deepak and Dinesh together can complete a work in 70 days. Sunil and Dinesh together can complete the same work in 120 days. In how many days Deepak alone can complete the same work?

Sunil, Deepak and Dinesh together can complete a work in 70 days. Sunil and Dinesh together can complete the same work in 120 days. In how many days Deepak alone can complete the same work? Correct Answer 168

Given:

Sunil, Deepak and Dinesh together can complete a work in 70 days.

Sunil and Dinesh together can complete the same work in 120 days

Calculation:

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

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

Sunil and Dinesh together can complete the same work in 120 days

Work done by Sunil and Dinesh in 1 day = 1/120 units

Sunil, Deepak and Dinesh together can complete a work in 70 days

Work done by Sunil, Deepak and Dinesh  in 1 day = 1/70

⇒ 1/120 + 1/y = 1/70

⇒ 70 × (y + 120) = 120y

⇒ 50y = 8400

⇒ y = 168 days

∴ Deepak alone can complete the same work in 168 days.

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