document.write( "Question 275331: On a bus trip Frank is flying from new york to london,which are 3600 miles apart. With the wind current the flight there only takes 6 hours. On the return trip the flight takes 8 hours against the wind. Write and solve a system of linear equations to determine the airspeed and the wind speed.\r
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document.write( "please help me solve this word problem
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document.write( "thank you very much! (in advance) \n" );
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Algebra.Com's Answer #200836 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! On a bus trip Frank is flying from new york to london,which are 3600 miles apart. With the wind current the flight there only takes 6 hours. On the return trip the flight takes 8 hours against the wind. Write and solve a system of linear equations to determine the airspeed and the wind speed. \n" ); document.write( "please help me solve this word problem \n" ); document.write( "thank you very much! (in advance) \r \n" ); document.write( "\n" ); document.write( "Remember that distance = rate* time.\r \n" ); document.write( "\n" ); document.write( "Let w be the wind speed and x the air speed. With the wind we have:\r \n" ); document.write( "\n" ); document.write( "1.) 3600 = (x+w)*6\r \n" ); document.write( "\n" ); document.write( "Against the wind we have:\r \n" ); document.write( "\n" ); document.write( "2.) 3600 = (x-w)*8 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we multiply both sides of equation 1.) by 1/6 and both sides of equation 2.) by 1/8 we then have:\r \n" ); document.write( "\n" ); document.write( "3.) 600 = x + w \n" ); document.write( "4.) 450 = x - w\r \n" ); document.write( "\n" ); document.write( "Adding these two equations we have:\r \n" ); document.write( "\n" ); document.write( "1050 = 2x \n" ); document.write( "x = 525\r \n" ); document.write( "\n" ); document.write( "Substituting 525 for x in 3.) above we have:\r \n" ); document.write( "\n" ); document.write( "600 = 525 + w \n" ); document.write( "w = 75 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |