Question

Solve each problem. Julie can mow a lawn with a lawn tractor in 2 hours, and her husband can mow the same lawn with a push mower in 4 hours. How long will it take to mow the lawn if they work together?

Name: Problem 35, Chapter 1: College Algebra
Uploaded: 2020-07-08T20:01:22-08:00
Duration: 2 min 7 s
Channel: Susan Cooper
Description: Solve each problem. Julie can mow a lawn with a lawn tractor in 2 hours, and her husband can mow the same lawn with a push mower in 4 hours. How long will it take to mow the lawn if they work together?

   Solve each problem.
Julie can mow a lawn with a lawn tractor in 2 hours, and her husband can mow the same lawn with a push mower in 4 hours. How long will it take to mow the lawn if they work together?

College Algebra

R. David Gustafson,… 11th Edition

Chapter 1, Problem 35

Instant Answer

Solved by Expert Susan Cooper

07/08/2020

Step 1

Similarly, her husband can mow the lawn in 4 hours, so his rate of mowing is $\frac{1}{4}$ of the lawn per hour. Show more…

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Solve each problem. Julie can mow a lawn with a lawn tractor in 2 hours, and her husband can mow the same lawn with a push mower in 4 hours. How long will it take to mow the lawn if they work together?

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Key Concepts

Work Rates

Work rates represent how much of a task is completed per unit of time. For example, if a person completes a task in a certain amount of time, their work rate is the reciprocal of that time. This concept is fundamental in solving problems where multiple workers contribute to the same task.

Combined Work Rates

When multiple individuals work together on the same task, their individual work rates are added to determine the total or combined work rate. This aggregated rate helps in calculating the overall time required to complete the task collectively.

Reciprocal Relation Between Time and Rate

The total time taken to complete a job when working together is the reciprocal of the combined work rate. Essentially, if the combined rate is the sum of the individual rates, then the overall time required can be found by taking the inverse of that sum.

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