document.write( "Question 26425: An airplane took 2 hours to fly 600 km against a head wind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane in still air. \n" ); document.write( "
Algebra.Com's Answer #14266 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the speed of the plane be y \n" ); document.write( "Let the speed of the wind be x \n" ); document.write( "1 2/3 = 5/3 \n" ); document.write( "Against = - \n" ); document.write( "With = +\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(x-y)=600 ------>2x-2y=600 (solve for y) \n" ); document.write( "x-y=300 \n" ); document.write( "y=300+x (subsitution)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "5x+1500+5x=1800 \n" ); document.write( "10x=300 \n" ); document.write( "x=30 \n" ); document.write( "y=300+(30) \n" ); document.write( "y=330\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the speed of the wind is 30 mph and the speed of the plane is 330 mph (in still air). \n" ); document.write( "Paul. \n" ); document.write( " |