If his average rate was 16 miles per hour faster on the trip home, how far away does Hans live from the mountains?

Question

Hans drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Hans 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 Hans live from the mountains?

Answer 1

Let R=rate going, then R+16=rate coming

8R=6(R+16) since the distance travelled is the same each way

8R=6R+96

2R=96 and R=48

8R=distance =384