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 ($t$) 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 $t$ 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 $\frac{1}{7} + \frac{1}{3} = \frac{1}{t}$ 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, $t$, they need to complete the task working together is $\frac{1}{7} + \frac{1}{3} = t$.

Clearing Fractions in Work Application Equations

EcoGarden Solutions Crew Scheduling