Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Bill drove home, there was no traffic and the trip only took 4 hours. If his average rate was 22 miles per hour faster on the trip home, how far away does Bill live from the mountains?

Question

Bill drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Bill drove home, there was no traffic and the trip only took 4  hours. If his average rate was 22 miles per hour faster on the trip home, how far away does Bill live from the mountains?

anonymous · Answer

r t = d
Let x and y be the speed up to the mountains and the speed back home respectively.

Solve the following for x and y.
{6 x = 4 y, x = y - 22}
{x = 44, y = 66}
6*44 = 264 miles from the mountains.