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
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-> 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
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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
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total time: .366 hrs which ~ 22 min
