If sarah and tim work together use 4 hours to finish a project, tim use 6 hours to complete the project alone, how long will sarah finish project alone?

She will finish in 12 hours.

Explanation:

∵ The time taken by Sarah and Tim when they work together = 4 hours,

∴ The one day work of both Sarah and Tim =

Now, time taken by Tim when he works alone = 6 hours,

So, his one day work =

Thus, the one day work of Sarah = Their combined work - one day work of Tim

Hence, the time taken by Sarah when she works alone =

= 12 days.

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