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.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) (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
RELATED QUESTIONS
The total travel time for a family to reach a campsite is 2 hours. They drove for 81... (answered by josgarithmetic,ikleyn)
A family drove 45 miles and they hiked 2 miles to their campsite. The trip took 1 hour... (answered by richwmiller)
ONe Sunday afternoon the Martin family went for a drive for 2 2/3 hours. If they... (answered by rfer)
One sunday afternoon the Martin family went for a drive for 2 2/3 hours. If they average (answered by NancyLam)
Daria and her family for went for a drive in the country they traveled a distance of 50... (answered by josmiceli)
Daria and her family went for a drive in the country. they traveled a distance of 50... (answered by mananth)
Mateos family took a trip. If they drove 2 1/2 hours at 55mph . How many miles did they... (answered by rfer)
Carter and his family are driving from Atlanta to Raleigh. They drive for 2 hours and 45... (answered by ewatrrr)
A family goes on a road trip and travels 80 miles/hour during the first third of the... (answered by ikleyn)