document.write( "Question 518772: A car travels 240 miles. A second car, traveling 12 mph faster that the first, makes the same trip in 1 hour less time. Find the speed of each car. \n" ); document.write( "
Algebra.Com's Answer #345257 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
car I-----------------x mph
\n" ); document.write( "car II---------------x+12 mph\r
\n" ); document.write( "\n" ); document.write( "t=d/r
\n" ); document.write( "time car I -time car II =1\r
\n" ); document.write( "\n" ); document.write( "240/x - 240/(x+12)=1\r
\n" ); document.write( "\n" ); document.write( "LCD = x(x+12)
\n" ); document.write( "multiply by LCD
\n" ); document.write( "240(x+12)-240x=1*x(x+12)
\n" ); document.write( "240x+2880-240x=x^2+12x
\n" ); document.write( "x^2+12x-2880=0\r
\n" ); document.write( "\n" ); document.write( "x^2+60x-48x-2880=0
\n" ); document.write( "x(x+60)-48(x+60)=0
\n" ); document.write( "(x+60)(x-48)=0\r
\n" ); document.write( "\n" ); document.write( "x=48 mph speed of car I
\n" ); document.write( "48+12=60 mph Car II speed
\n" ); document.write( "
\n" );