document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841113>Question 841113</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jon recently drove to visit his parents who live 675 miles away. on his way there his average speed was 24 mph faster than on his way home. if jon spent a total of 30 hours driving find the two rates. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506653 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=506653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  jon recently drove to visit his parents who live 675 miles away. on his way there his average speed was 24 mph faster than on his way home. if jon spent a total of 30 hours driving find the two rates.\r<BR>\n" );
document.write( "\n" );
document.write( "----------<BR>\n" );
document.write( "To DATA:<BR>\n" );
document.write( "distance = 675 miles: rate = r+24 mph ; time = d/r = 675/(r+24) hours<BR>\n" );
document.write( "------<BR>\n" );
document.write( "From DATA:<BR>\n" );
document.write( "distance = 675 miles ; rate = r mph ; time = 675/r hrs<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 30 hrs.<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "675/r + 675/(r+24) = 30 hrs<BR>\n" );
document.write( "675r + 675*24 + 675r = 30r(r+24)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "1350r + 675*24 = 30r^2 + 30*24<BR>\n" );
document.write( "------<BR>\n" );
document.write( "30r^2 - 1350r - 645*24 = 0<BR>\n" );
document.write( "3r^2 - 135r - 129*12 = 0<BR>\n" );
document.write( "r^2 - 45r - 129*4 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "rate coming home = 54.47 mph<BR>\n" );
document.write( "rate going = 30.47<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------------\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );