Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai 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 Mai live from the mountains?
+36916 Distance is equal both ways
rate * time = distance equate the two equations for distance:
r*8 = (r+16)6 solve for r = 48 m/hr then r+16 = 64 m/hr
we know here rate in both directions and the time invoved 8 hrs x 48 m/hr = 384 m
6 hrs x 64 m/hr = 384 m
