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

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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) About Me  (Show Source):
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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