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Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the field together, how long will it take them?

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A really quick way to solve problems like this. (where you have separate hours for individuals, and are asked to get the time it takes when combined is.) In this case: Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the field together, how long will it take them? set up a fraction where total hours multiplied/total hours added up in this case would be 6/5, just convert to hours and minutes.
5 votes

First, combine all the hours they can clear the football field, 3 hours by Tiana plus 2 hours by Jacob, a total of 5 hours. Then get the average hours that it would take them to clear a football field by dividing 5 hours by 2. So, it will take them 2.5 hours to clear the football field together.

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