# The speed of each cyclist. ### 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 1.6, Problem 68E
To determine

## To find: The speed of each cyclist.

Expert Solution

The speed of first cyclist is 15 mi/h and other cyclist is 30 mi/h.

### Explanation of Solution

Given:

Two cyclists are at a distance of 90 mi apart. One cycles twice as fast as the other.

Formula used:

Distance formula is,

distance=time×rate

Calculation:

Let the speed of first cyclist be x.

Tabulate the given information into the language of algebra.

 In words In algebra Speed of first cyclist x Speed of other cyclist 2x

Model the equation for the above information.

distance=speed×time90=(x+2x)×2

Simplify the above equation for x,

3x×2=906x=90x=15

The speed of first cyclist is 15 mi/h.

Speed of other cyclist,

2x=2×15=30

The speed of other cyclist is 30 mi/h.

Thus, the speed of first cyclist is 15 mi/h and other cyclist is 30 mi/h.

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