document.write( "Question 48328: Flying w/ a tailwind, an airplane travelled 1,120 m. in 7 hrs. w/ a headwind, it took 8 hrs. to travel the same distance. Find the planes speed and the speed of the wind. \n" ); document.write( "
Algebra.Com's Answer #31955 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! First, i think you mean 1120km?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "DEFINITION: Let x be the speed of the plane \n" ); document.write( "DEFINITION: Let y be the speed of the wind\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "travelling with the wind, the speed will be x+y and is equal to 1120/7 \n" ); document.write( "--> x+y = 160\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "travelling against the winde, the speed of the plane will be x-y and this is equal to 1120/8 \n" ); document.write( "--> x-y = 140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "x+y = 160 \n" ); document.write( "x-y = 140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add these together to give 2x = 300 \n" ); document.write( "--> x = 150km/hr\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From x+y = 160 we get \n" ); document.write( "150+y = 160 \n" ); document.write( "y = 10km/hr\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon \n" ); document.write( " \n" ); document.write( " |