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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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Intermediate Algebra @ OpenStax
Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
Algebra
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Solving a Work Application: Cleaning a House
Solving a Work Application: Finding an Individual's Painting Time
Solving a Work Application: Laying a Concrete Slab
Solving a Work Application: Printing Presses
Solving a Work Application: Mowing a Golf Course
Solving a Work Application: Weeding a Garden
A project manager at a manufacturing plant is evaluating the efficiency of two different assembly lines working together to fulfill a large order. To solve this 'work application' problem, arrange the steps of the standard problem-solving strategy in the correct chronological order from start to finish.
As an operations manager, you are setting up a work application to determine how long it will take two different data processing systems to audit a company's financial records simultaneously. According to the standard problem-solving strategy, what does the variable represent in the rational equation ?
In a professional environment—such as a logistics hub where multiple conveyor belts process packages—technicians use a specific problem-solving strategy to calculate efficiency. Match each component of the work application strategy with its correct definition or purpose.
In the standard problem-solving strategy for work applications—such as when an employee is assigned a specific task—if the individual takes hours to finish the job alone, then the part of the job completed in one hour is correctly represented by the expression .
Solving Equations in Logistical Work Applications
Learn After
As a project manager at a construction firm, you need to calculate individual worker efficiency. An experienced concrete finisher can lay a standard concrete slab in 3 hours alone. When paired with a new trainee, they lay the same size slab together in 2 hours. If represents the hours it would take the trainee to lay the slab alone, which of the following equations correctly recalls the setup for this work application by equating the sum of their individual hourly rates to their combined hourly rate?
A construction site supervisor is training a new team on how to estimate the time required to lay concrete slabs for a housing project. To set up the necessary calculations, match each mathematical term used in work application problems with its correct professional definition.
To calculate how many hours it takes a junior mason to lay a concrete slab alone, given that an experienced mason takes hours and they finish in hours together, a project manager should use the equation .
A construction site foreman is calculating the time it takes for a junior mason to complete a concrete slab project alone. The foreman knows an experienced mason takes 3 hours, the junior mason takes hours, and together they take 2 hours. Arrange the steps in the correct order to solve the resulting rational equation for .
Masonry Productivity Rate