Q 632. Amanda jogs to the park 8 miles ... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 632. (page 1030)

Amanda jogs to the park 8 miles using one route and then returns via a 14-mile route. The return trip takes her 1 hour longer than her jog to the park. Find her jogging rate.

Short Answer

Expert verified

Amanda's jogging rate is 6 mph.

Step by step solution

Step 1. Given information.

Amanda jogs to the park 8 miles using one route and then returns via a 14-mile route.

The return trip takes her 1 hour longer than her jog to the park.

Let's take $r =$ Amanda's jogging rate.

Step 2. Find the jogging rate of Amanda.

Organize the given information into a chart:

	Rate	Time $(t) = \frac{D}{r}$	Distance $D = r 路 t$
First route	$r$	$\frac{8}{r}$	$8$
Second route	$r$	$\frac{14}{r}$	$14$

The time taken by Amanada on her return trip is 1 hour more than his first trip. Now form an equation with the help of the given information,

$\frac{14}{r} - \frac{8}{r} = 1$

Simplify,

$\frac{14 - 8}{r} = 1 \frac{6}{r} = 1 6 = r$

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91影视

Amanda jogs to the park 8 miles using one route and then returns via a 14-mile route. The return trip takes her 1 hour longer than her jog to the park. Find her jogging rate.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the jogging rate of Amanda.

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