Alonzo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
8

hours. When Alonzo drove home, there was no traffic and the trip only took
6

hours. If his average rate was
16

miles per hour faster on the trip home, how far away does Alonzo live from the mountains?
Do not do any rounding.

Question

Alonzo drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 
8

hours. When Alonzo drove home, there was no traffic and the trip only took 
6

hours. If his average rate was 
16

miles per hour faster on the trip home, how far away does Alonzo live from the mountains? 
Do not do any rounding.

Vocaloid · Answer

Average rate going to the mountains + 16 = average rate home

Average rate = distance / time

Let distance = x . It is the distance both going there and going back so

x/8 + 16 = x/6

Solve for x