SOLUTION: I need step by step instructions on how to solve the following: A plane flies 1800 miles in 6 hours, with a tailwind all the way. The return trip on the same route, now with a h

Algebra ->  Linear-equations -> SOLUTION: I need step by step instructions on how to solve the following: A plane flies 1800 miles in 6 hours, with a tailwind all the way. The return trip on the same route, now with a h      Log On


   



Question 576395: I need step by step instructions on how to solve the following:
A plane flies 1800 miles in 6 hours, with a tailwind all the way. The return trip on the same route, now with a headwind, takes 9 hours. Assuming both remain constant, find the speed of the plane and the speed of the wind.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies 1800 miles in 6 hours, with a tailwind all the way. The return trip on the same route, now with a headwind, takes 9 hours. Assuming both remain constant, find the speed of the plane and the speed of the wind.
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1800mi/6hr = 300 mi/hr
1800/9 = 200 mi/hr
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The plane's airspeed is the average = (300+200)/2 = 250 mi/hr
The windspeed is the difference = 300-250 = 50 mi/hr