document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917702>Question 917702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two persons are to run a race, but one can run 12 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 63-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556805 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=556805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two persons are to run a race, but one can run 12 meters per second, whereas the other can run 6 meters per second.<BR>\n" );
document.write( " If the slower runner has a 63-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Just thinking about it, if one is running twice as fast as the other, he would cover twice the distance, in the same time or 126 ft; 126/12 = 10.5 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( "But here is a method, that will work for any pair of runner speeds.<BR>\n" );
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document.write( "Let d = distance ran by the slower runner<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+63) = distance ran by the faster runner<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F6 ALIGN=MIDDLE  ALT=\"d%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B63%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%28d%2B63%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply <BR>\n" );
document.write( "12d = 6(d+63)<BR>\n" );
document.write( "12d = 6d + 378<BR>\n" );
document.write( "12d - 6d = 378<BR>\n" );
document.write( "d = 378/6<BR>\n" );
document.write( "d = 63 meters<BR>\n" );
document.write( "find the time<BR>\n" );
document.write( "63/6 = 10.5 sec<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
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