SOLUTION: a ski lift carries a skier up a slope at the rate of 800 feet per minute and he returns from the top to the bottom on a path parallel to the lift at an average rate of 2640 feet pe

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Question 202100: a ski lift carries a skier up a slope at the rate of 800 feet per minute and he returns from the top to the bottom on a path parallel to the lift at an average rate of 2640 feet per minute. How long is the lift if the round trip traveling time is 20 minutes?
Found 2 solutions by scott8148, ankor@dixie-net.com:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
distance up equals distance down ___ and ___ time = distance / rate

(d / 800) + (d / 2640) = 20

multiplying by 26400 ___ 33d + 10d = 528000 ___ 43d = 528000 ___ d = 528000 / 43

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a ski lift carries a skier up a slope at the rate of 800 feet per minute and
he returns from the top to the bottom on a path parallel to the lift at an
average rate of 2640 feet per minute.
How long is the lift if the round trip traveling time is 20 minutes?
:
Let d = the length of the lift
:
Write a time equation: Time = dist%2Fspeed
:
Time up + time down = 20 min
d%2F800 + d%2F2640 = 20
Multiply equation by 211200:
211200*d%2F800 + 21120*d%2F2640 = 211200*20
Cancel out the denominators:
264d + 80d = 4224000
:
344d = 4224000
d = 4224000%2F344
d = 12,279.07 feet
:
:
Check solution using this value in the time equation:
12279.07%2F800 + 12279.07%2F2640 =
15.349 + 4.651 = 20.00