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X and Y completes a project in 11 days and 66 days respectively. If both works together, then, in how many days they will complete a work?
1. 66 / 7 days
2. 4 / 5 days
3. 1 / 15 days
4. 59 / 5 days

1 Answer

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Best answer
Correct Answer - Option 1 : 66 / 7 days

Given

X completes a work in 11 days

Y completes a work in 66 days

Calculation

X’s 1 day work = (1 / 11)

Y’s 1 day work = (1 / 66)

Work done by X and Y in 1 day = (1 / 11) + (1 / 66)

⇒ (6 + 1) / 66

⇒ 7 / 66

∴ 66 / 7 days are required if X and Y works together.

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