document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126901>Question 126901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thomas drove 60 kilometers at a constant rate of speed. If he had driven 40 kph faster, he would have traveled the same distance for 24 minutes less. How fast did he drive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92962 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=92962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 60/x=60/(x+40)+.4 <BR>\n" );
document.write( "60/x=(60+.4x+16)/(x+40) now cross multiply<BR>\n" );
document.write( "60(x+40)=x(60+.4x+16)<BR>\n" );
document.write( "60x+2400=60x+.4x^2+16x<BR>\n" );
document.write( ".4x^2+16x-2400=0<BR>\n" );
document.write( "x^2+40x-6000=0<BR>\n" );
document.write( "(x-60)(x+100)=0<BR>\n" );
document.write( "x-60=0<BR>\n" );
document.write( "x=60 kph. is the speed.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "60/60=60/(60+40)+.4<BR>\n" );
document.write( "1=(60+40)/100<BR>\n" );
document.write( "1=1 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );