SOLUTION: a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour. if the complete trip requires 22 minutes, how far is it from t

Question 488299: a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour. if the complete trip requires 22 minutes, how far is it from the bottom to the top of the hill?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour.
if the complete trip requires 22 minutes, how far is it from the bottom to the top of the hill?
:
Assuming the distance up is equal to the distance down.
let d = the one-way distance
:
Change 22 min to = hr
:
Write a time equation: time = dist/speed
:
time up + time down = 22 min
+ =
multiply equation by 150, results
30d + 3d = 5(11)
33d = 55
d =
d = 1 mi from the bottom to the top of the hill
:
:
Check this: Find the actual times each way, Use 1.67 mi dist and .367 hrs as the time (22/60)
:
1.67/5 = .333 hrs
1.67/50 =.033 hrs
--------------------
total time: .366 hrs which ~ 22 min
RELATED QUESTIONS
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 ride a ski lift at the rate of 5 miles per hour and skis back down the hill at the... (answered by htmentor)

Hi. I need help with this word problem. Samantha rides the ski lift to the top of blue... (answered by josmiceli)

Hi. I need help with this word problem. Samantha rides the ski lift to the top of blue... (answered by ankor@dixie-net.com)

A girl goes up a ski lift at a speed of 4 MPH and skis down the slope at a speed of 24... (answered by nerdybill)

Suzanne rides the chairlift to the top of a 4 mile hill, then skis down at 8 miles per... (answered by Theo)

A boy rides away from home in an automobile at a rate of 28 miles per hour and walks back (answered by greenestamps,Alan3354)

a boy rides his bicycle ten miles at an average rate of twelve miles an hour and twelve... (answered by Edwin McCravy)

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