SOLUTION: An aircraft flew 7 hours with the wind. The return trip took 8 hours against the wind. If the speed of the plane in still air is 336 miles per hour more than the speed of the wind,
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Question 596772: An aircraft flew 7 hours with the wind. The return trip took 8 hours against the wind. If the speed of the plane in still air is 336 miles per hour more than the speed of the wind, fond the wind speed and the speed of the plane in still air.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the speed of the plane in still air. Let 
represent the wind speed.
We are given that 
mph, but 
is also the ground speed against the wind, at which speed the aircraft required 8 hours to fly the distance. Hence the distance flown is 
miles.
From that we calculate the time for the downwind trip: 
mph. But the ground speed downwind is given by 
, hence:
Solve the system for and
John
My calculator said it, I believe it, that settles it
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