document.write( "Question 34163: I can't figure out how to set this problem up. Your help would be greatly appreciated.
\n" ); document.write( "An airplane travels 400 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.\r
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Algebra.Com's Answer #20456 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
Let the speed of the plane be x
\n" ); document.write( "Let the speed of the wind be y
\n" ); document.write( "2x+2y=400
\n" ); document.write( "y=200-x (subsitution)
\n" ); document.write( "4x-4y=400
\n" ); document.write( "4x-4(200-x)=400
\n" ); document.write( "8x=1200
\n" ); document.write( "x=150
\n" ); document.write( "y=200-150
\n" ); document.write( "y=50
\n" ); document.write( "Hence, the speed of the plane is 150mph and the speed of the wind is 50mph.
\n" ); document.write( "PAul.
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