document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880936>Question 880936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose you have entered a 121-mile biathlon that consists of a run and bicycle race. During your run, your average velocity is 6 miles per hours, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race in 6 hours. What is the distance of the run? What is the distance of the bicycle race? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531815 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=531815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose you have entered a 121-mile biathlon that consists of a run and bicycle race. During your run, your average velocity is 6 miles per hours, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race in 6 hours. What is the distance of the run? What is the distance of the bicycle race?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=distance of the running race<BR>\n" );
document.write( "121-x=distance of the bicycle race<BR>\n" );
document.write( "travel time=distance/velocity<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F6%2B%28121-x%29%2F23=6 ALIGN=MIDDLE  ALT=\"x%2F6%2B%28121-x%29%2F23=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "lcd=6*23=138<BR>\n" );
document.write( "23x+6(121-x)=6*138<BR>\n" );
document.write( "23x+726-6x=828<BR>\n" );
document.write( "17x=102<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "121-x=115<BR>\n" );
document.write( "distance of the running race = 6 miles<BR>\n" );
document.write( "distance of the bicycle race=115 miles </SPAN>\n" );
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