document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915717>Question 915717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist races at 20 meters per second and beats her record by 12 seconds. The bicyclist races again at 18 meters per second and is over her record by 10 seconds. What was the distance of the race?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555731 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=555731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bicyclist races at 20 meters per second and beats her record by 12 seconds. The bicyclist races again at 18 meters per second and is over her record by 10 seconds. What was the distance of the race? <BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=distance of race<BR>\n" );
document.write( "let t=record travel time<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "x/18=t+12<BR>\n" );
document.write( "x/20=t-10<BR>\n" );
document.write( "x/18-x/20=t+12-t+10=22<BR>\n" );
document.write( "x/18-x/20=22<BR>\n" );
document.write( "20x-18x=18*20*22<BR>\n" );
document.write( "2x=792<BR>\n" );
document.write( "x=396 <BR>\n" );
document.write( "distance of race=396 m </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );