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Sunil can do a piece of work in 90 days. Sunil is 20% more efficient than Donna. How many days does Donna alone take to do the same job?

Sunil can do a piece of work in 90 days. Sunil is 20% more efficient than Donna. How many days does Donna alone take to do the same job? Correct Answer 108 days

Let Donna take x days to do the job

Amount of work Sunil can do in 1 day = 1/90

Amount of work Donna can do in 1 day = 1/x

1/90 = 1/x + 20% of 1/x

⇒ 1/90 = 1/x + 1/5x

⇒ x = 90 × 6/5 = 18 × 6 = 108 days

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