document.write( "Question 909319: a plane traveled 2296 miles with the wind in 4 hours and 1904 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #551780 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! a plane traveled 2296 miles with the wind in 4 hours and 1904 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. \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 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( "4(x+c)=2296 \n" ); document.write( "4(x-c)=1904 \n" ); document.write( ".. \n" ); document.write( "4x+4c=2296 \n" ); document.write( "4x-4c=1904 \n" ); document.write( "add \n" ); document.write( "8x=4200 \n" ); document.write( "x=525 \n" ); document.write( "4c=2296-4x=196 \n" ); document.write( "c=49 \n" ); document.write( "speed of plane in still air=525 mph \n" ); document.write( "speed of wind=49 mph \n" ); document.write( " |