SOLUTION: if perry goes for a 3 hour trip through town on country roads. If she averages 55mph on country roads and 35 mph through the towns, and if she travels 3 times as far on country roa

Algebra.Com
Question 786314: if perry goes for a 3 hour trip through town on country roads. If she averages 55mph on country roads and 35 mph through the towns, and if she travels 3 times as far on country roads as she does through towns, what is the total length of her trip?
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
if perry goes for a 3 hour trip through town on country roads. If she averages 55mph on country roads and 35 mph through the towns, and if she travels 3 times as far on country roads as she does through towns, what is the total length of her trip?
let x be the distance driven in town--------rate 35mph
3x is the distance on country road-----------rate 55 mph
Time on country road + time on town roads = 3
t=d/r
x/35 + 3x/55 = 3
(55x+105x)/35*55=3
160x=35*55*3
/160
x=(35*55*3)/160
x= 36.09
3x=36*3=108.28 miles ( rounded off)
3x=3*36.09=108.28

Total distance = 144.38 miles





RELATED QUESTIONS

if perry goes for a 3 hour trip through town on country roads. If she averages 55mph on... (answered by ankor@dixie-net.com)
I am having trouble with this problem? Can someone please help me? Dustin takes one... (answered by MathTherapy)
A man finds that he can reach a certain town in 6 hours by traveling 240 miles on an... (answered by greenestamps)
When driving a 9 hour trip home, Sharon drove 420 miles on the interstate and 135 miles... (answered by josgarithmetic,ikleyn)
If a motorist drove 150 miles on country roads before driving 50 miles on mountain roads. (answered by ankor@dixie-net.com)
a motorist drove 150 miles on country roads before driving 50 miles on mountain roads.... (answered by stanbon)
Mishka is on a long road trip, and she averages 60 mph for 2 hours while she's driving... (answered by Alan3354)
When driving the 9 hour trip home, Sharon drove 420 miles on the interstate and 135 miles (answered by josgarithmetic)
This is a problem from a college algebra project, and we are stuck. A motorist drove... (answered by scott8148)