Math word problem

Question

Karen drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
8
hours. When Karen drove home, there was no traffic and the trip only took
6
hours. If her average rate was
16
miles per hour faster on the trip home, how far away does Karen live from the mountains?
Do not do any rounding.

Answer 1

8r = 6(r + 16)

8r = 6r + 96

2r = 96

r = 48

 

8(48) = 384 miles