document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179739>Question 179739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 6000 m relay race is run by two male runners in 18.5 minutes. \the first runner averaged 300m/min and the second 350 m/min. For how many minutes did each hold the baton? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134636 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do this problem, you have to know what a <BR>\n" );
document.write( "relay race is. The runners runners run one <BR>\n" );
document.write( "at a time. One after the other.<BR>\n" );
document.write( "For 1st runner<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+r%5B1%5D%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For 2nd runner<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+r%5B2%5D%2At%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+%2B+d%5B2%5D+=+6000 ALIGN=MIDDLE  ALT=\"d%5B1%5D+%2B+d%5B2%5D+=+6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+6000+-+d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+6000+-+d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+%2B+t%5B2%5D+=+18.5 ALIGN=MIDDLE  ALT=\"t%5B1%5D+%2B+t%5B2%5D+=+18.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+18.5+-+t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+18.5+-+t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+=+300 ALIGN=MIDDLE  ALT=\"r%5B1%5D+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" >m/min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+350 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" >m/min<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Rewriting (1) and (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+300t%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+300t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000+-+d%5B1%5D+=+350%2A%2818.5+-+t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"6000+-+d%5B1%5D+=+350%2A%2818.5+-+t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+300%2At%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+300%2At%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000+-+d%5B1%5D+=+6475+-+350t%5B1%5D ALIGN=MIDDLE  ALT=\"6000+-+d%5B1%5D+=+6475+-+350t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-d%5B1%5D+=+-350t%5B1%5D+%2B+475 ALIGN=MIDDLE  ALT=\"-d%5B1%5D+=+-350t%5B1%5D+%2B+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now add (1) and (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-d%5B1%5D+=+-350t%5B1%5D+%2B+475 ALIGN=MIDDLE  ALT=\"-d%5B1%5D+=+-350t%5B1%5D+%2B+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+300t%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+300t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-50t%5B1%5D+%2B+475 ALIGN=MIDDLE  ALT=\"0+=+-50t%5B1%5D+%2B+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t%5B1%5D+=+475 ALIGN=MIDDLE  ALT=\"50t%5B1%5D+=+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+9.5 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+9.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >min<BR>\n" );
document.write( "And since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+18.5+-+t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+18.5+-+t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+18.5+-+9.5 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+18.5+-+9.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+9 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >min<BR>\n" );
document.write( "The 1st runner held the baton for 9.5 min, the 2nd for 9 min<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+300%2A9.5 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+300%2A9.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+2850 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+2850\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+350%2A%2818.5+-+9.5%29 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+350%2A%2818.5+-+9.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+3150 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+3150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+%2B+d%5B2%5D+=+6000 ALIGN=MIDDLE  ALT=\"d%5B1%5D+%2B+d%5B2%5D+=+6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2850+%2B+3150+=+6000 ALIGN=MIDDLE  ALT=\"2850+%2B+3150+=+6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000+=+6000 ALIGN=MIDDLE  ALT=\"6000+=+6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );