document.write( "Question 960717: An airplane took 3 hours to fly 1800 miles against a headwind. The return trip with the wind took 2 hours. Find the speed of the plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #587116 by lwsshak3(11628)\"\" \"About 
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An airplane took 3 hours to fly 1800 miles against a headwind. The return trip with the wind took 2 hours. Find the speed of the plane in still air and the speed of the wind.
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\n" ); document.write( "let x=speed of plane in still air
\n" ); document.write( "let c=speed of wind
\n" ); document.write( "x+c=speed of plane with the wind
\n" ); document.write( "x-c=speed of plane against the wind
\n" ); document.write( "travel time*speed=distance
\n" ); document.write( "..
\n" ); document.write( "3(x-c)=1800
\n" ); document.write( "2(x+c)=1800
\n" ); document.write( "..
\n" ); document.write( "3x-3c=1800
\n" ); document.write( "2x+2c=1800
\n" ); document.write( "..
\n" ); document.write( "6x-6c=3600 (mult eq. by 2)
\n" ); document.write( "6x+6c=5400 (mult eq. by 3)
\n" ); document.write( "add
\n" ); document.write( "12x=9000
\n" ); document.write( "x=750
\n" ); document.write( "2c=1800-2x=300
\n" ); document.write( "c=150
\n" ); document.write( "speed of plane in still air=750 mph
\n" ); document.write( "speed of wind=150 mph \n" ); document.write( "
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