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?

Question

Tiffany Huber

Mathematics

17 September, 23:23

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?

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George Ewing · 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