document.write( "Question 604634: Please help me with this problem:
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document.write( "A plane flies 900 miles with a tail wind in 3 hours. It takes the same plane 5 hours to fly the 900 miles flying against the wind. What is the plane's speed in still air? \n" );
document.write( "
Algebra.Com's Answer #381314 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A plane flies 900 miles with a tail wind in 3 hours. It takes the same plane 5 hours to fly the 900 miles flying against the wind. What is the plane's speed in still air? \n" ); document.write( "** \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 downwind \n" ); document.write( "(x-c)=speed of plane against wind \n" ); document.write( "distance=travel time*speed \n" ); document.write( ".. \n" ); document.write( "5(x-c)=900 \n" ); document.write( "3(x+c)=900 \n" ); document.write( ".. \n" ); document.write( "5x-5c=900 \n" ); document.write( "3x+3c=900 \n" ); document.write( ".. \n" ); document.write( "15x-15c=2700 (multi. by 3) \n" ); document.write( "15x+15c=4500 (multi. by 5) \n" ); document.write( "add \n" ); document.write( "30x=7200 \n" ); document.write( "x=240 \n" ); document.write( "5c=5x-900=300 \n" ); document.write( "c=60 \n" ); document.write( "ans: \n" ); document.write( "speed of plane in still air=240 mph \n" ); document.write( "speed of wind=60 mph \n" ); document.write( " |