document.write( "Question 26709: With a tailwind, a plane can fly 450 miles in 3 hours. The return trip takes 5 hours Find the speed of ther plane in still air and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #14510 by Paul(988)![]() ![]() ![]() 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( "3(x+y)=450---------->3x+3y=450 \n" ); document.write( "Solve for y \n" ); document.write( "3y=450-3x \n" ); document.write( "y=150-x (subsituion)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Second equation: \n" ); document.write( "5(x-y)=450 ----->5x-5y=450 (use subsitution) \n" ); document.write( "5x-5(150-x)=450 \n" ); document.write( "5x+5x-750=450 \n" ); document.write( "10x=1200 \n" ); document.write( "x=120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(120)+3y=450 \n" ); document.write( "360+3y=450 \n" ); document.write( "3y=90 \n" ); document.write( "y=30\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the speed of the plane is 120mph and the speed of the wind is 30mph. \n" ); document.write( "Paul. \n" ); document.write( " \n" ); document.write( " |