document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119837>Question 119837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can you help me with this problem?\r<BR>\n" );
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document.write( "Two cyclists, 87 mi apart, start riding towards each other at the same time. One cycles twice as fast as the other. If they meet 2 hr later, at what average speed is each cyclist traveling?<BR>\n" );
document.write( "mi/hr (slower cyclist)<BR>\n" );
document.write( "mi/hr (faster cyclist) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87833 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=87833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are 87 miles apart and they meet somewhere in the middle<BR>\n" );
document.write( "I'll call the distance covered by the slower cyclist <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the distance covered by the faster cyclist <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87-x ALIGN=MIDDLE  ALT=\"87-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice when I add these distances, I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%2887-x%29+=+87 ALIGN=MIDDLE  ALT=\"x+%2B+%2887-x%29+=+87\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "as I should<BR>\n" );
document.write( "I'll call the speed of the slower cyclist <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Then the speed<BR>\n" );
document.write( "of the faster cyclist would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s ALIGN=MIDDLE  ALT=\"2s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The elapsed time for both of them is 2 hrs<BR>\n" );
document.write( "Now I write distance = speed x time for both of them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+s%2A2 ALIGN=MIDDLE  ALT=\"x+=+s%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+-+x+=+2s%2A2 ALIGN=MIDDLE  ALT=\"87+-+x+=+2s%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s ALIGN=MIDDLE  ALT=\"2s\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+-+2s+=+4s ALIGN=MIDDLE  ALT=\"87+-+2s+=+4s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6s+=+87 ALIGN=MIDDLE  ALT=\"6s+=+87\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+14.5 ALIGN=MIDDLE  ALT=\"s+=+14.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2s+=+29 ALIGN=MIDDLE  ALT=\"2s+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the slower cyclist's average speed is 14.5 mi/hr<BR>\n" );
document.write( "and the faster cyclist's speed is 29 mi/hr<BR>\n" );
document.write( "check answers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+=+s%2A2+%2B+2s%2A2 ALIGN=MIDDLE  ALT=\"87+=+s%2A2+%2B+2s%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+=+14.5%2A2+%2B+29%2A2 ALIGN=MIDDLE  ALT=\"87+=+14.5%2A2+%2B+29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+=+29+%2B+58 ALIGN=MIDDLE  ALT=\"87+=+29+%2B+58\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=87+=+87 ALIGN=MIDDLE  ALT=\"87+=+87\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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