document.write( "Question 769242: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with a 40 mph headwind. How fast can the plane travel with no wind resistance? \n" ); document.write( "
Algebra.Com's Answer #468723 by josgarithmetic(39800) ![]() You can put this solution on YOUR website! Basic concept is r*t=d, r rate, t time, d distance. \n" ); document.write( "Including tailwind help, rate is r+35. \n" ); document.write( "Including headwind hindrance, rate is r-40.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "910 mph with tailwind, time t, distance unknown. \n" ); document.write( " \n" ); document.write( "760 mph with headwind, time t, distance unknown. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those two equations just use the meaning of rate for traveling or motion. MILES per TIME. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"in the same time...\" The value for t is the same number in both equations. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "EQUATE the expressions for t: \n" ); document.write( " \n" ); document.write( "SOLVE FOR r. \n" ); document.write( " |