SOLUTION: an airplane climbed at an average vertical speed of 300 feet per minute and descended immediately at an average speed of 25 miles per hour. the flight performed in 25 minutes. what

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Question 644418: an airplane climbed at an average vertical speed of 300 feet per minute and descended immediately at an average speed of 25 miles per hour. the flight performed in 25 minutes. what altitude did the plane reach?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
n airplane climbed at an average vertical speed of 300 feet per minute
and descended immediately at an average speed of 25 miles per hour.
the flight performed in 25 minutes. what altitude did the plane reach?
:
Convert descent to ft/min
%2825%2A5280%29%2F60 = 2200 ft/min
:
Let a = the altitude reached by the plane
:
Write a time equation, time = dist/speed (dist is altitude here)
:
ascent time + descent time = 25 min
a%2F300 + a%2F2200 = 25
multiply by 6600
6600*a%2F300 + 6600*a%2F2200 = 6600(25)
Cancel the denominators
22a + 3a = 165000
25a = 165000
a = 165000/25
a = 6600 ft max altitude
:
:
Check this; find the actual times of ascent and descent:
6600/300 = 22 min
2200/2200 = 3 min
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total time: 25 min