   Chapter 4.7, Problem 56PS

Chapter
Section
Textbook Problem

Set up an equation and solve each of the following problems.(Objective 3)Felipe jogs for 10 miles and then walks another 10 miles. He jogs 2 1 2 miles per hour faster than he walks, and the entire distance of 20 miles takes 6 hours. Find the rate at which he walks and the rate at which he jogs.

To determine

To Solve:

To calculate the rate at which Felipe walks and jogs.

Explanation

Procedure used:

“Model and solve linear equations”

(1) Identify the given problem.

(2) Recognize and algebraically name the unknowns.

(3) Translate the problem statement as a system of linear equations using the variables from Step 2.

(4) Solve the system as obtained in Step 3.

(5) State the answer statement.

Calculation:

Step 1:

The given problem is based upon the speed or rate at which Felipe jogs and walks.

Step 2:

There is one unknown in the problem. Let Feblie walks at a rate of x miles/hr.

Step 3:

The rate at which he jogs = x+2.5 miles/hr.

Step 4:

Equating the time taken in the whole journey on both the sides we get.

10x+2.5+10x=610[x+x+2.5x(x+2.5)]=65[2x+2.5x(x+2.5)]=310x+12.5=3x2+7

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