SOLUTION: Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Raina drove home, there was no traffic and the trip only t

Algebra.Com
Question 1040343: Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Raina drove home, there was no traffic and the trip only took
8
hours. If her average rate was
20
miles per hour faster on the trip home, how far away does Raina live from the mountains?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
                RATE         TIME         DISTANCE
GOING            r            x            d
RETURN           r+k          t            d


Travel Rates Rule is RT=D relating RATE, TIME, and DISTANCE.













--substitute into this one:






Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Raina drove home, there was no traffic and the trip only took
8
hours. If her average rate was
20
miles per hour faster on the trip home, how far away does Raina live from the mountains?
Let distance be D

Speed to mountains: , and speed home = 

We then get the following SPEED equation: 

2D = 3D - 480------- Multiplying by LCD, 24

2D – 3D = - 480

D, or distance = , or  

RELATED QUESTIONS


Rafael drove to the mountains last weekend. There was heavy traffic on the way there, and  (answered by richwmiller)

Alice drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic)

Chau drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by ankor@dixie-net.com)

Ryan drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by ankor@dixie-net.com)

 Jim drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by ankor@dixie-net.com)

Justin drove to the mountains last weekend. There was heavy traffic on the way there, and  (answered by ewatrrr)

Tony drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by macston)

Jina drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by Theo)

 Teresa drove to the mountains last weekend.  There was heavy traffic on the way there... (answered by josgarithmetic)