algebra
posted by wilma .
a man rides up a ski lift at the rate of 5 miles per hour and skis back down the hill at the rate of 50miles an hour. if the complete trip requires 22 minutes, how far is it from the bottom to top of the hill?

algebra 
Reiny
22 minutes = 22/60 or 11/30 hours.
let time going up be t hrs
then time going down is (11/30  t) hrs.
5t = 50(11/30  t)
5t = 55/3  50t
55t = 55/3
t = 1/3
distance to top is 5t = 5(1/3) = 5/3 miles
Respond to this Question
Similar Questions

Math
Jan and Nika ride their bikes. Jan rides 5 miles per hour for 1 hour then rides at ten miles per hour for 30 minutes.Nika rides at a constant 8 miles per hour. the tripss cover the ssme distance. Forr hoew many minutes does Nika ride … 
VNS,Math
A man walked into the road at 4 miles per hour and returned over the same road at the rate of 3 miles per hour. If he completed the entire trip in 7/2 hours,how far in miles in to the roads did he walk? 
math
Martin rides to Cambridge 30 miles away from home at the average rate of 10 miles per hour.He returns on a better road that is 50% longer where he can increase his rate by 100%.How much time does he save by taking the better road on … 
Math Multistep word problems
A canoe in still water travels at a rate of 10 miles per hour. The current today is traveling at a rate of 3 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way? 
word problems
A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way? 
PLEASE HELP MEEE!!!!
A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way? 
math
Luis rides his bicycle 3:4 of a mike in 5 minutes,or 1:12 hour,along the bike trail.Assuming he rides at a constant rate,what is his speed,in miles per hour? 
Math
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was: 
Math
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was: 
Math
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was: