Nancy jogs and walks to campus each day. She averages 4 km / h walking and 8 km / h jogging. The

Name: Problem 81, Chapter 9: Algebra and Trigonometry
Uploaded: 2020-07-25T00:19:55-08:00
Duration: 2 min 3 s
Channel: Ankit Gupta
Description: Nancy jogs and walks to campus each day. She averages 4 km / h walking and 8 km / h jogging. The distance from home to the campus is 6 km and she makes the trip in 1 hr. How far does she jog on each trip?

step 1 Okay, this particular problem belongs to the motion problem in which the average speed for walki

Question

Nancy jogs and walks to campus each day. She averages $4 \mathrm{km} / \mathrm{h}$ walking and $8 \mathrm{km} / \mathrm{h}$ jogging. The distance from home to the campus is $6 \mathrm{km}$ and she makes the trip in 1 hr. How far does she jog on each trip?

   Nancy jogs and walks to campus each day. She averages $4 \mathrm{km} / \mathrm{h}$ walking and $8 \mathrm{km} / \mathrm{h}$ jogging. The distance from home to the campus is $6 \mathrm{km}$ and she makes the trip in 1 hr. How far does she jog on each trip?

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 9, Problem 81

Instant Answer

Solved by Expert Ankit Gupta

07/25/2020

Step 1

Then, the distance she jogs is $6 - x$ km, because the total distance from her home to the campus is 6 km. Show more…

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Nancy jogs and walks to campus each day. She averages $4 \mathrm{km} / \mathrm{h}$ walking and $8 \mathrm{km} / \mathrm{h}$ jogging. The distance from home to the campus is $6 \mathrm{km}$ and she makes the trip in 1 hr. How far does she jog on each trip?

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Key Concepts

Distance-Rate-Time Relationship

This fundamental concept connects distance, rate (or speed), and time using the formula d = r × t. It is essential in problems involving motion, as it allows one to compute one quantity when the other two are known.

Segmented Journeys

When a journey is composed of different segments, each with its own speed, the total time is calculated as the sum of the times for each segment. Understanding this concept is crucial when a trip involves varying speeds over different portions of the distance.

Linear Equations

In many rate problems, including those involving segmented journeys, a linear equation models the relationship between unknown distances or times and the known rates. Solving these linear equations helps determine the unknown quantities in the problem.

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