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Solving a Work Application: Laying a Concrete Slab
Apply the problem-solving strategy for work applications to find how long it takes an individual to lay a concrete slab alone. If Tracy can lay the slab in hours alone, let be the number of hours it takes Jordan to lay it alone. In hour, Tracy lays of the slab, and Jordan lays of the slab. Since it takes them hours working together, their combined hourly rate is of the slab. The rational equation is: Multiply both sides by the least common denominator, : 6t \left(\frac{1}{3} + \frac{1}{t} ight) = 6t \left(\frac{1}{2} ight) Distribute and simplify: Subtract from both sides: It would take Jordan hours to lay the slab alone.
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Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
Algebra