SOLUTION: When driving the 9 hour trip home, Sharon drove 420 miles on the interstate and 135 miles on country roads. Her speed on the interstate was 25 more than on country roads. What was

Algebra ->  College  -> Linear Algebra -> SOLUTION: When driving the 9 hour trip home, Sharon drove 420 miles on the interstate and 135 miles on country roads. Her speed on the interstate was 25 more than on country roads. What was       Log On


   



Question 1139728: When driving the 9 hour trip home, Sharon drove 420 miles on the interstate and 135 miles on country roads. Her speed on the interstate was 25 more than on country roads. What was her speed, in miles per hour, on country roads?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!

INTERSTATE           r+25     420/(r+25)      420

COUNTRY              r         135/r          135

Total                            9

420%2F%28r%2B25%29%2B135%2Fr=9
--

140%2F%28r%2B25%29%2B45%2Fr=3
.
.
3r%5E2-110r-1125=0

discriminant is 160%5E2;

r=%28110%2B160%29%2F6
r=270%2F6
highlight%28r=45%29