document.write( "Question 65322: an airplane flies 1449 miles against the wind and 1539 miles with the wind in a total time of 5hours. the speed of the airplane in still air is 600mph. what is the speed of the wind ? \n" ); document.write( "
Algebra.Com's Answer #45857 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 1449/(600-X)+1539/(600+X)=5 \n" ); document.write( "[1449(600-X)+1539(600-X)]/(360000-X^2)=5 \n" ); document.write( "(869400-1449X+923400+1539X)/360000-X^2=5 \n" ); document.write( "1792800+90X=1800000-5X^2 \n" ); document.write( "5X^2+90X-7200=0 \n" ); document.write( "X^2+18X-1440=0 \n" ); document.write( "(X-30)(X+48)=0 \n" ); document.write( "X-30=0 \n" ); document.write( "X=30 REAL SOLUTION \n" ); document.write( "X+48 \n" ); document.write( "X=-48 SOLUTION \n" ); document.write( "PROOF \n" ); document.write( "1449/(600-30)+1539/(600+30)=5 \n" ); document.write( "1449/570+1539/630=5 \n" ); document.write( "2.542+2.448=5 \n" ); document.write( "5=5 \n" ); document.write( "########################################## \n" ); document.write( "MERRY CHRISTMAS \n" ); document.write( " |