Question

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

Answer 1

Let x be the distance from home and y the speed on the way up.

We know that distance=speed*time, so:

x=y*6

x=(y+22)*4

Solving the system;

6y=(y+22)*4

6y=4y+88

2y=88

y=44

x=y*6

x= 264

The distance is 264 miles.