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Celeste rides her bike to work, averaging 12 miles per hour. On her way home she averages 8 miles per hour. If the total trip takes one hour, how far does she live from her work?

Respuesta :

AwesomeMochi
Set an equation:

Let x=distance

(12+8)•1=x

20•1=x

x=20

Answer: Celeste lives 20 miles from her workplace. 

As per linear equation, Celeste lives 4.8 miles from her work.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given, Celeste rides her bike to work, averaging 12 miles per hour.

On her way home she averages 8 miles per hour.

The total trip takes one hour.

Let, the distance of Celeste's home and work is x miles.

Therefore, Celeste will need (x / 12) miles to reach her work.

Again, Celeste will need (x / 8) miles to reach her home.

Therefore, (x / 12) + (x / 8) = 1

⇒ x(1 / 12 + 1 / 8) = 1

⇒ x(2 + 3) / 24 = 1

⇒ x(5 / 24) = 1

⇒ x = 24 / 5

⇒ x = 4.8

Learn more about a linear equation here: https://brainly.com/question/15311184

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