document.write( "Question 451668: \"Traveling for 4 hours into a steady head wind, a plane flies 1200 miles. The plane can make the return trip, flying with the wind, in 3 hours. Find the speed of the plane and the speed of the wind.\r
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document.write( "Show :
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document.write( "1) Define two variables
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document.write( "2) Write a system of equations
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document.write( "3) Solve the system of equations
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document.write( "4) Answer the question\"\r
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document.write( "Please help! :O \n" );
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Algebra.Com's Answer #311417 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! \"Traveling for 4 hours into a steady head wind, a plane flies 1200 miles. The plane can make the return trip, flying with the wind, in 3 hours. Find the speed of the plane and the speed of the wind. \n" ); document.write( "Show : \n" ); document.write( "1) Define two variables \n" ); document.write( "2) Write a system of equations \n" ); document.write( "3) Solve the system of equations \n" ); document.write( "4) Answer the question\" \n" ); document.write( ".. \n" ); document.write( "1) \n" ); document.write( "let x=speed of plane \n" ); document.write( "let w=speed of wind \n" ); document.write( "(x+w)=Speed of plane with wind \n" ); document.write( "(x-w)=Speed of plane against wind \n" ); document.write( "2) \n" ); document.write( "Travel time=distance/speed \n" ); document.write( "1200/(x+w)=3 \n" ); document.write( "1200/(x-w)=4 \n" ); document.write( "3) \n" ); document.write( "3x+3w=1200 \n" ); document.write( "4x-4w=1200 \n" ); document.write( ".. \n" ); document.write( "3) \n" ); document.write( "12x+12w=4800 (multiply by 4) \n" ); document.write( "12x-12w=3600 (multiply by 3) \n" ); document.write( "24x=8400 \n" ); document.write( "x=350 \n" ); document.write( "12w=4800-12*350 \n" ); document.write( "12w=60 \n" ); document.write( "w=5 \n" ); document.write( ".. \n" ); document.write( "4) \n" ); document.write( "answers: \n" ); document.write( "speed of plane=350 mph \n" ); document.write( "windspeed=5 mph \n" ); document.write( " |