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?

Answer 1

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