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

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) (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

RELATED QUESTIONS
A car went 4 miles up a hill at 10 miles per hour and back down the same hill 20 miles... (answered by checkley77)

a man ride a ski lift at the rate of 5 miles per hour and skis back down the hill at the... (answered by htmentor)

On a hike up hill, Ted climbs at 3 miles an hour. Going back down, he runs at 5 miles an... (answered by josgarithmetic)

Travel up a hill at 3 miles per hour and down the hill at 6 miles per hour on the same... (answered by scott8148)

If a bicyclist can drive down a one minute hill three times as fast as she can ride back... (answered by richwmiller)

Jack and Jill walked along a level road, up the hill, back (along the same path) down the (answered by Alan3354,fractalier)

a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at... (answered by ankor@dixie-net.com)

A man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at... (answered by ankor@dixie-net.com)

If Charlene biked up a hill at a speed of 12 miles per hour and came down the hill using... (answered by Alan3354)