SOLUTION: Kevin drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Kevin drove home, there was no traffic and the trip only to

Algebra.Com
Question 952847: Kevin drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
8
hours. When Kevin drove home, there was no traffic and the trip only took
6
hours. If his average rate was
16
miles per hour faster on the trip home, how far away does Kevin live from the mountains?

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
___________________rate____________time__________distance
GOTO________________r________________8___________d
BACK_______________r+16______________6___________d


Variables assigned as understood from data table and description.


Try solving purely in symbols, to solve for d.
Only TWO unknown variables: r and d.


___________________rate____________time__________distance
GOTO________________r________________g___________d
BACK_______________r+k_______________b___________d


Fact for uniform rates for travel, RT=D for rate, time, distance.





-
substitute.







Substitute the values known or given for b, g, k, and evaluate d.

RELATED QUESTIONS

Rafael drove to the mountains last weekend. There was heavy traffic on the way there, and (answered by richwmiller)
Keisha drove to the mountains last weekend. There was heavy traffic on the way there, and (answered by mananth,MathTherapy)
Martina drove to the mountains last weekend. There was heavy traffic on the way there,... (answered by mananth)
Chau drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by ankor@dixie-net.com)
Elsa drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by lwsshak3,josmiceli)
Frank 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)
Amy drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by Alan3354,Edwin McCravy)
Bob drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by lwsshak3)