SOLUTION: Stephanie runs to the top of a hill and back down again. She runs at 3.5 miles per hour up the hill and 4 miles per hour down the hill. If the total round trip takes 2 hours, how m

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Stephanie runs to the top of a hill and back down again. She runs at 3.5 miles per hour up the hill and 4 miles per hour down the hill. If the total round trip takes 2 hours, how m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 906664: Stephanie runs to the top of a hill and back down again. She runs at 3.5 miles per hour up the hill and 4 miles per hour down the hill. If the total round trip takes 2 hours, how many minutes did it take Stephanie from the top of the mountain back to the bottom?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=2
x=2-y
3.5*x=d
3.5*(2-y)=d
4*y=d
3.5*(2-y)=4*y
7.0-3.5y=4*y
7.0=7.5*y
7.0/7.5=y
y=7.0/7.5
y=0.93333333 hours down
y time =56.0 minutes down
x=1.06666667 hours up
x time =64.0 minutes up
One way up distance = 3.73333333 miles
One way down distance = 3.73333333 miles