SOLUTION: The total travel time for a family to reach a campsite is 2 hours. They drive 81 miles and hike 2 miles. If they drive 50 mph faster than they hike, what is their average driving

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The total travel time for a family to reach a campsite is 2 hours. They drive 81 miles and hike 2 miles. If they drive 50 mph faster than they hike, what is their average driving      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 910302: The total travel time for a family to reach a campsite is 2 hours. They drive 81 miles and hike 2 miles.
If they drive 50 mph faster than they hike, what is their average driving speed?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The total travel time for a family to reach a campsite is 2 hours. They drive 81 miles and hike 2 miles.
If they drive 50 mph faster than they hike, what is their average driving speed?
-----------------
d = r*t
t = d/r
======
r = hiking speed
2/r + 81/(r+50) = 2
2(r+50) + 81r = 2r*(r+50) = 2r^2 + 100r
2r + 100 + 81r = 2r^2 + 100r
2r^2 + 17r - 100 = 0
(r - 4)*(2r + 25) = 0 (Ignore the negative solution)
r = 4 mi/hr
Driving speed = 54 mi/hr