SOLUTION: Against the wind a commercial airline in South America flew 340 miles in 2.5 hours With a tailwind the return trip took 2 hours. What was the speed of the airplane in still air? Wh
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Question 720825: Against the wind a commercial airline in South America flew 340 miles in 2.5 hours With a tailwind the return trip took 2 hours. What was the speed of the airplane in still air? What was the speed of the wind? thank you for answering!!! Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! let = the speed of the plane in still air in mi/hr
Let = the wind speed in mi/hr = the speed of the plane flying with the wind in mi/hr = the speed of the plane flying against the wind in mi/hr
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given:
Flying against the wind:
(1)
Fly with the wind:
(2)
-----------------------
(1)
and
(2)
---------------------
(1)
(1)
and
(2)
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Add (1) and (2)
and, since
(2)
(2)
(2)
The speed of the plane in still air is 153 mi/hr
The wind speed is 17 mi/hr
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check:
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK