Keith drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when keith drove home, there was no traffic and the trip only took 5 hours. if his average rate was 21 miles per hour faster on the trip home, how far away does keith live from the mountains? do not do any rounding.

Keith live 280 miles far way from the mountains.

Step-by-step explanation:

Consider the provided information.

Keith drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took  8  hours.

Let the distance is D and average rate or speed is x miles.

Substitute the respective values.

When Keith drove home, there was no traffic and the trip only took  5

hours. The average rate was  21  miles per hour faster on the trip home,

The average rate or speed during return is x+21 miles.

Substitute the respective values in the above formula.

Equate both the equations.

Substitute the value of x in

Hence, Keith live 280 miles far way from the mountains.

answerthe vertex form

step-by-step explanation: