Chapter 4.7, Problem 50PS

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# Set up an equation and solve each of the following problems. (Objective 3)Walt can mow a lawn in 1 hour, and his son, Malik, can mow the same lawn in 50 minutes. One day Malik started moving the lawn by himself and worked for 30 minutes. Then Walt joined him and they finished the lawn. How long did it take them to finish the lawn after Walt started to help?

To determine

To Find:

The time required to finish the mow for the given situation.

Explanation

Approach:

The part of job completed in an unit time or the rate of work is defined by 1t, where t is the time taken to complete the job.

Calculation:

Walt mow a lawn in 1 hour. Malik mow the same lawn in 50 minutes.

Therefore, Waltâ€™s and Malikâ€™s rate to mow the lawn are 160 per minute and 160 per minute respectively.

The sum of Waltâ€™s and Malikâ€™s rate is equal to the rate when they work together. That is 160+150 per minutes.

Consider the m minutes is required by Walt and Malik together to mow the lawn complete after mowing by Malik for 30 minutes.

According to the situation in the question:

30(150)+m(150+160)=13050+m50+m60=1

LCD of the above equation is 300.

Therefore, multiply each term by 300 in the above equation

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