document.write( "Question 726221: rachel drove 780 miles. if she had drove 5 mph faster, the trip would have taken 1 hour less. How fast did she drive? \n" ); document.write( "
Algebra.Com's Answer #444525 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! rachel drove 780 miles. if she had drove 5 mph faster, the trip would have taken 1 hour less. How fast did she drive? \n" ); document.write( "---------------------- \n" ); document.write( "Slower trip DATA: \n" ); document.write( "distance = 780 ; rate = r mph ; time = 780/r hours \n" ); document.write( "------ \n" ); document.write( "Faster trip DATA: \n" ); document.write( "distance = 780 ; rate = r+5 mph ; time = 780/(r+5) hours \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "time - time = 1 hour \n" ); document.write( "780/r - 780/(r+5) = 1 hr \n" ); document.write( "------ \n" ); document.write( "780r + 780*5 - 780r = r(r+5) \n" ); document.write( "------- \n" ); document.write( "r^2+5r-5*780 = 0 \n" ); document.write( "---- \n" ); document.write( "r = 60 mph \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |