document.write( "Question 524123: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with 49mph headwind. How fast can the plane travel with no wind resistance? \n" ); document.write( "
Algebra.Com's Answer #347594 by mananth(16949) You can put this solution on YOUR website! plane speed x mph \n" ); document.write( "Tail wind 35 mph \n" ); document.write( "Head wind = 49 \n" ); document.write( ".. \n" ); document.write( "against wind x - 49 mph \n" ); document.write( "with wind x + 35 mph \n" ); document.write( " \n" ); document.write( "Distance against wind 760 \n" ); document.write( "Distance with wind 910 \n" ); document.write( "Time = same \n" ); document.write( "760 /(x- 49 )= 910 /(x+ 35 ) \n" ); document.write( "760 *(x+ 35 )= 910 *(x- 49 ) \n" ); document.write( "760 x + 37240 = 910 x -44590 \n" ); document.write( "910 x -760 x = 44590 + 37240 \n" ); document.write( "150 x = 81830 \n" ); document.write( "/ 150 \n" ); document.write( " x= 545.53 mph \n" ); document.write( " \n" ); document.write( " |