document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166425>Question 166425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122754 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=122754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b>  <BR>\n" );
document.write( "so lets call d1=r1*T1  1st cyclist  T1=T+3 r1=6<BR>\n" );
document.write( ".............d2=r2*T2  2nd cyclist  T2=T   r2=10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d1 has to equal d2 since they travel the same distance.<BR>\n" );
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document.write( "equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1=6%28T%2B3%29 ALIGN=MIDDLE  ALT=\"d1=6%28T%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1=10T ALIGN=MIDDLE  ALT=\"d1=10T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and since: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d1=d2 ALIGN=MIDDLE  ALT=\"d1=d2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6T%2B18=10T ALIGN=MIDDLE  ALT=\"6T%2B18=10T\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4T=18 ALIGN=MIDDLE  ALT=\"4T=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=4.5 ALIGN=MIDDLE  ALT=\"T=4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "2nd cyclist was cycling <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=4.5hours ALIGN=MIDDLE  ALT=\"T=4.5hours\"   DISABLED_style= \"max-width:90%; height:auto;\" > before he caught the 1st cyclist.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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