Math  /  Algebra

QuestionElaine can complete a landscaping project in 12 hours with the help of either her husband Brian or both her two daughters. If Brian and one of his daughters work together, it would take them 24 hours to complete the project. Assuming the rate of work is constant for each person, and the two daughters work at the same rate, how long would it take Elaine, Brian, and one of their daughters to complete the project?
Working all together, Elaine, Brian, and one of their daughters can do thes job in 8 hours. (Type an integer or a simplified fraction.)

Studdy Solution
The combined rate of work for Elaine, Brian, and one daughter is 18 \frac{1}{8} projects per hour.
Therefore, the time it takes them to complete the project together is: 1(18)=8 hours \frac{1}{\left(\frac{1}{8}\right)} = 8 \text{ hours}
Thus, the solution is: 8 hours \boxed{8} \text{ hours}

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