document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888813>Question 888813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two persons are to run a race, but one can run 11 meters per second, whereas the other can run 5 meters per second. If the slower runner has a 87-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 #537709 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=537709\">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 11 meters per second, whereas the other can run 5 meters per second. If the slower runner has a 87-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( "let x=distance slower runner traveled<BR>\n" );
document.write( "x+87=distance faster runner traveled<BR>\n" );
document.write( "travel time=distance/speed (same for both runners)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x/5=(x+87)/11<BR>\n" );
document.write( "11x=5(x+87)<BR>\n" );
document.write( "11x=5x+535<BR>\n" );
document.write( "6x=435<BR>\n" );
document.write( "x=72.5 <BR>\n" );
document.write( "travel time= 72.5/5=(72.5+87)/11=14.5<BR>\n" );
document.write( "how long will it be before the faster runner catches the slower runner? 14.5 sec         </SPAN>\n" );
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