document.write( "Question 839777: A car traveled 468 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 3 hr less time. Find the speed. \n" ); document.write( "
Algebra.Com's Answer #505825 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A car traveled 468 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 3 hr less time. Find the speed. \n" ); document.write( "--------- \n" ); document.write( "Slower DATA: \n" ); document.write( "distance = 469 miles ; rate = r mph ; time = 469/r hrs \n" ); document.write( "------ \n" ); document.write( "Faster DATA: \n" ); document.write( "distance = 469 miles ; rate = r+13 mph ; time = 469/(r+13) hrs \n" ); document.write( "----------------- \n" ); document.write( "Equation: \n" ); document.write( "slower time - faster time = 3 hrs. \n" ); document.write( "469/r - 469/(r+13) = 3 hrs \n" ); document.write( "------------------------------ \n" ); document.write( "469r + 469*13 - 469r = 3r(r+13) \n" ); document.write( "--------- \n" ); document.write( "3r^2 + 39r -469*13 = 0 \n" ); document.write( "r = 39.05.. mph \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " |