Lolita and Doug working together can paint a shed in 3 hours and 20 minutes. If Doug can paint the shed by himself in 10 hours, how long would it take Lolita to paint the shed by herself?

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Lolita and Doug working together can paint a shed in 3 hours and 20 minutes. If Doug can paint the shed by himself in 10 hours, how long would it take Lolita to paint the shed by herself?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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If Lolita and Doug can paint the shed in 3 hours and 20 minutes, then that means that they can paint the shed in 10/3 hours. Distance = rate x time: 1 shed = 10/3*r --> r = 3/10 shed/hour. This means they can paint 3/10 of the shed in one hour. If Doug takes 10 hours; then he can paint 1/10 of the shed in an hour. 3/10*t = 1/10*t +Lt, where L is the amount of shed she can paint in one hour. L equals 1/5 if you cancel out the t's. If 1 shed = 1/5*t, then she can paint 1 shed in 5 hours.

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