Question 224268: A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours. The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream. How fast was the plane flying out of the jet stream?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour.
It travels with the jet stream for 5 hours and then reduces its altitude, flying out of the jet stream for 4 more hours.
The plane, while out of the jet stream, covered 550 miles less than it did during the 5 hours it was in the jet stream.
How fast was the plane flying out of the jet stream?
:
Let s = speed out of the jet stream
the jet stream rate is 80mph, therefore:
(s+80) = speed in the jet stream
:
Write a distance equation: dist = time * speed
:
Jet stream distance = out of stream dist + 550 mi
5(s+80) = 4s + 550
5s + 400 = 4s + 550
5s - 4s = 550 - 400
s = 150 mph; speed without the jet stream
;
:
Check the solution by finding the dist flown in each case
5(150+80) = 1150
4(150) = 600
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difference: 550 mi
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