Maria drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 9 hours. when maria drove home, there was no traffic and the trip only took 4 hours. if her average rate was 40 miles per hour faster on the trip home, how far away does maria live from the mountains?
Answers
Answered by
2
let Maria live x miles from the mountains
Let her rate to mountains be y
t=d/r
x/y = 9
x=9y
Return trip 4 hours
rate = y+40
x/(y+40) =4
substitute x
9y/(y+40)=4
9y=4y+160
9y-4y=160
5y=160
y= 160/5
y=32
x=9y
x=9*32= 288 miles
distance to the mountain = 288 miles
Hope it's useful
Let her rate to mountains be y
t=d/r
x/y = 9
x=9y
Return trip 4 hours
rate = y+40
x/(y+40) =4
substitute x
9y/(y+40)=4
9y=4y+160
9y-4y=160
5y=160
y= 160/5
y=32
x=9y
x=9*32= 288 miles
distance to the mountain = 288 miles
Hope it's useful
Similar questions