Problema Solution
Deshaun drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
7
hours. When Deshaun drove home, there was no traffic and the trip only took
5
hours. If his average rate was
18
miles per hour faster on the trip home, how far away does Deshaun live from the mountains?
Answer provided by our tutors
Let
v = the average rate of the trip to the mountains
v + 18 = the average rate of the trip home
We know that distance = average rate*time and also that the distance traveled in each direction is the same, so we can write:
7v = 5(v + 18)
........
click here to see the equation solved for v
........
v = 45 mph
The distance is: 7v = 7*45 = 315 miles
Deshaun lives 315 miles away from the mountains.