Eric drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when eric drove home, there was no traffic and the trip only took 4 hours. if this average rate was 27 miles per hour faster on the trip home, how far away does eric live from the mountains. do not do any rounding.

Eric drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours.When Eric drove home, there was no traffic and the trip only took 4 hours.If his average rate was 27 miles per hour faster on the trip home, how far away does Eric live from the mountains?
let s = his speed in trafficthen (s+27) = his speed coming homeWrite a distance equation; dist = time * speedthe dist there and back was the same, therefore7s = 4(s+27)7s = 4s + 1087s - 4s = 1084s = 108s = 108/4 s = 27 mph in traffic"how far away does Eric live from the mountains?"7 * 27 = 189 miles