Solving a Work Application: Weeding a Garden
Apply the problem-solving strategy for work applications to find the time needed for two people to weed a garden together. If Daria takes hours alone and her mother takes hours alone, let be the hours needed together. Their hourly rates are and , respectively, and their combined hourly rate is . The rational equation is: Multiply both sides by the LCD, : Distribute and simplify: Converting to a mixed number gives hours. Since of an hour is minutes, it will take them hours and minutes working together.
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Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
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Solving a Work Application: Weeding a Garden
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Learn After
A professional landscaping crew is assigned to weed a large garden. Daria can complete the job alone in 7 hours, and her mother can complete it alone in 3 hours. Arrange the following steps in the correct order to determine the total time () it will take them to finish the job working together.
A professional landscaping crew is tasked with weeding a corporate garden. One crew member, Daria, can weed the entire garden alone in 7 hours. A second crew member can complete the same task alone in 3 hours. If represents the total number of hours it will take them to weed the garden together, which rational equation correctly models the sum of their individual work rates?
A professional landscaping company is training its supervisors to estimate project timelines using rational equations. When a two-person crew (Daria and her mother) weeds a garden together, the supervisor uses the equation to model the work. Match each component of the equation to its corresponding meaning in the project estimation process.
A landscaping project manager calculates that a two-person crew will take {}2 rac{1}{10} hours to weed a corporate garden. To ensure accurate scheduling, the manager converts this duration into hours and minutes. This total time is equivalent to 2 hours and ____ minutes.
In a corporate landscaping project, if one crew member takes 7 hours to weed a garden alone and another crew member takes 3 hours alone, the correct rational equation used to find the total time in hours, , they need to complete the task working together is .