<PRE><B>Question 786314</B>
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





</PRE>