document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941929>Question 941929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using a system: Roy and Chuck are two miles apart riding toward each other on their bicycles. They will meet in 20 minutes. If Roy were to ride twice as fast and Chuck were to ride three times as fast, the could meet in 8 minutes. How fast is each boy riding? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574198 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=574198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In both cases, I can think of this as one<BR>\n" );
document.write( "of them ( either one ) standing still, and<BR>\n" );
document.write( "the other moving at the sum of their speeds<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Br%5D+ ALIGN=MIDDLE  ALT=\"+s%5Br%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Roy's speed in mi / min<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bc%5D+ ALIGN=MIDDLE  ALT=\"+s%5Bc%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Chuck's speed in mi / min<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "1st case:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+s%5Br%5D+%2B+s%5Bc%5D+%29%2A20+ ALIGN=MIDDLE  ALT=\"+2+=+%28+s%5Br%5D+%2B+s%5Bc%5D+%29%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd case:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+2s%5Br%5D+%2B+3s%5Bc%5D+%29%2A8+ ALIGN=MIDDLE  ALT=\"+2+=+%28+2s%5Br%5D+%2B+3s%5Bc%5D+%29%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Br%5D+%2B+s%5Bc%5D+=+1%2F10+ ALIGN=MIDDLE  ALT=\"+s%5Br%5D+%2B+s%5Bc%5D+=+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5Br%5D+%2B+3s%5Bc%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+2s%5Br%5D+%2B+3s%5Bc%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5Br%5D+%2B+3s%5Bc%5D+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+2s%5Br%5D+%2B+3s%5Bc%5D+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2s%5Br%5D+-+2s%5Bc%5D+=+-2%2F10+ ALIGN=MIDDLE  ALT=\"+-2s%5Br%5D+-+2s%5Bc%5D+=+-2%2F10+\"   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=+s%5Bc%5D+=+5%2F20+-+4%2F20+ ALIGN=MIDDLE  ALT=\"+s%5Bc%5D+=+5%2F20+-+4%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bc%5D+=+1%2F20+ ALIGN=MIDDLE  ALT=\"+s%5Bc%5D+=+1%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Br%5D+%2B+s%5Bc%5D+=+1%2F10+ ALIGN=MIDDLE  ALT=\"+s%5Br%5D+%2B+s%5Bc%5D+=+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Br%5D+%2B+1%2F20+=+2%2F20+ ALIGN=MIDDLE  ALT=\"+s%5Br%5D+%2B+1%2F20+=+2%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Br%5D+=+1%2F20+ ALIGN=MIDDLE  ALT=\"+s%5Br%5D+=+1%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Both of them travel at 1 mi in 20 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F3%29%2A%281%2F20%29+=+3%2F60+ ALIGN=MIDDLE  ALT=\"+%283%2F3%29%2A%281%2F20%29+=+3%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both travel at 3 mi/hr<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+s%5Br%5D+%2B+s%5Bc%5D+%29%2A20+ ALIGN=MIDDLE  ALT=\"+2+=+%28+s%5Br%5D+%2B+s%5Bc%5D+%29%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+1%2F20+%2B+1%2F20+%29%2A20+ ALIGN=MIDDLE  ALT=\"+2+=+%28+1%2F20+%2B+1%2F20+%29%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+2%2F20+%29%2A20+ ALIGN=MIDDLE  ALT=\"+2+=+%28+2%2F20+%29%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+2+ ALIGN=MIDDLE  ALT=\"+2+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+2%2A%281%2F20%29+%2B+3%2A%281%2F20%29+%29%2A8+ ALIGN=MIDDLE  ALT=\"+2+=+%28+2%2A%281%2F20%29+%2B+3%2A%281%2F20%29+%29%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+2%2F20+%2B+3%2F20+%29%2A8+ ALIGN=MIDDLE  ALT=\"+2+=+%28+2%2F20+%2B+3%2F20+%29%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+5%2F20%29%2A8+ ALIGN=MIDDLE  ALT=\"+2+=+%28+5%2F20%29%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+40%2F20+ ALIGN=MIDDLE  ALT=\"+2+=+40%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2=+2+ ALIGN=MIDDLE  ALT=\"+2=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );