# The distance between Amity city to Belleville city. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 9T
To determine

## To find: The distance between Amity city to Belleville city.

Expert Solution

The distance between these two cities is 120mi .

### Explanation of Solution

Given:

The speed of Mary drove from Amity to Belleville is 50mi/h , speed of way back to Amity is 60mi/h and total driving time is 425h .

Formula used: Distance Formula

distance=rate×time

Calculation:

Let, t is equal to time to drive from Amity to Belleville and the total time is 425h that is 4.4h , so (4.4t) represents the amount of time driven back to Amity from Belleville.

From the above statement make a table,

 speed time distance Amity to Belleville 50 t 50t Belleville to Amity 60 (4.4−t) 60(4.4−t)

Model an equation from the information in the above table.

(DistancefromAmitytoBelleville)=(DistancefromBellevilletoAmity)50t=60(4.4t)

Solve above equation to get the value of t,

50t60(4.4t)=050t264+60t=0110t=264t=2.4

Distance between two cities is,

distance=50t

Substitute 2.4 for t into above formula to get the distance between these two cities,

distance=50(2.4)=120

Thus, the distance between these two cities is 120mi .

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