SOLUTION: Alice drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Alice drove home, there was no traffic and the trip only took 5

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Question 834889: Alice drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Alice drove home, there was no traffic and the trip only took 5 hours. If her average velocity was 12 miles per hour faster on the home trip, how far away does Alice live from the mountains?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rate for the trip going was r.

____________speed_____________time___________distance_____Equation?
Going_______r_________________7______________d___________r%2A7=d
ToHome______r+12______________5______________d___________%28r%2B12%29%2A5=d

One neat way to solve for d is use the Going equation and solve it for r; and substitute into the ToHome equation, and then finish solving for and simplifying for d.