document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829270>Question 829270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a race, bicycles M and N start from the same point at the same time, traveling at 18 kilometers per hour and 10 kilometers per hour, respectively. If bicycle N finishes the race 2 minutes behind bicycle M, what is the length of the race in kilometers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499747 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a race, bicycles M and N start from the same point at the same time, traveling at 18 kilometers per hour and 10 kilometers per hour, respectively.<BR>\n" );
document.write( " If bicycle N finishes the race 2 minutes behind bicycle M,<BR>\n" );
document.write( " what is the length of the race in kilometers?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let d = distance of the race<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "Slow time - fast time = 2 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F10 ALIGN=MIDDLE  ALT=\"d%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F18 ALIGN=MIDDLE  ALT=\"d%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F60 ALIGN=MIDDLE  ALT=\"2%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (time is in hrs)<BR>\n" );
document.write( "multiply by 180 to clear the denominators, results:<BR>\n" );
document.write( "18d - 10d = 3(2)<BR>\n" );
document.write( "8d = 6<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8 ALIGN=MIDDLE  ALT=\"6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > km is the length of the race<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that works, find the actual time of each<BR>\n" );
document.write( ".75/10 = .075 hrs<BR>\n" );
document.write( ".75/18 = .042 hrs<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "difference .033 hrs<BR>\n" );
document.write( ".033 * 60 = 1.98 ~ 2 min </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );