Question

Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Charmaine drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Charmaine live from the mountains?

Answer 1

To mountains took 9 Hrs at x mph         where x = No of miles to mountains
No of miles travelled = 9x

From mountains took 4 hours at (x+40) mph
No of miles travelled = 4(x+40)

Therefore 9x=4(x+40)  thus 9x=4x+160 thus x=32 = distance Charmaine lives from the mountains