document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65618>Question 65618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 9.0 km/h due east. Runner B is initially 5.0 km east of the flagpole and is running with a constant velocity of 8.0 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross? ( It is not necessary to convert your answer from kilometers to meters for this problem. You may leave it in kilometers.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46253 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=46253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The runner running west has velocity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B1%5D ALIGN=MIDDLE  ALT=\"v%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr<BR>\n" );
document.write( "He runs adistance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "and meets the other runner after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "The runner running east has velocity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B2%5D ALIGN=MIDDLE  ALT=\"v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr<BR>\n" );
document.write( "He runs adistance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "and meets the other runner after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Their velocities and therefore, distances are different,<BR>\n" );
document.write( "but they each run for the same  amount of time in order<BR>\n" );
document.write( "to meet eachother, so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+d%5B1%5D+%2F+v%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+d%5B1%5D+%2F+v%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+d%5B2%5D+%2F+v%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+d%5B2%5D+%2F+v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+%2F+v%5B1%5D+=+d%5B2%5D+%2F+v%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+%2F+v%5B1%5D+=+d%5B2%5D+%2F+v%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+%2B+d%5B2%5D+=+11 ALIGN=MIDDLE  ALT=\"d%5B1%5D+%2B+d%5B2%5D+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "If I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D=+x ALIGN=MIDDLE  ALT=\"d%5B1%5D=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+11+-+x ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+11+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+8+=+%2811+-+x%29+%2F+9 ALIGN=MIDDLE  ALT=\"x+%2F+8+=+%2811+-+x%29+%2F+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x+=+88+-+8x ALIGN=MIDDLE  ALT=\"9x+=+88+-+8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17x+=+88 ALIGN=MIDDLE  ALT=\"17x+=+88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5.1765 ALIGN=MIDDLE  ALT=\"x+=+5.1765\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+-+x+=+5.8235 ALIGN=MIDDLE  ALT=\"11+-+x+=+5.8235\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "The runner 1 went the shorter distance in the same time<BR>\n" );
document.write( "as runner 2, but he still passed the flagpole before<BR>\n" );
document.write( "runner 2, and ended up .1765 km on the west side of it.<BR>\n" );
document.write( "Runner 2 met him there (6 - 5.8235) km short of the <BR>\n" );
document.write( "flagpole, or .1765 km short.<BR>\n" );
document.write( "  </SPAN>\n" );
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