document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463262>Question 463262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the cyclist overtake the runner? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317421 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=317421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A runner started a course at an average speed of 6mph. Two hours later, a cyclist traveled the same course at an average speed of 12mph. How long after the runner started did the cyclist overtake the runner?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let x=hrs cyclist takes to overtake runner<BR>\n" );
document.write( "travel time of runner=x <BR>\n" );
document.write( "travel time of cyclist=x-2<BR>\n" );
document.write( "both runner and cyclist traveled the same distance<BR>\n" );
document.write( "distance=travel time*speed<BR>\n" );
document.write( "6x/60=12(x-2)/60<BR>\n" );
document.write( "6x=12x-24<BR>\n" );
document.write( "6x=24<BR>\n" );
document.write( "6=4 hrs<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "cyclist overtook the runner in 4 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );