document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999016>Question 999016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a boy rides a bicycle at a certain rate for 5 km then decreases his rate by 2 km per hour and rode another 6 km. Find his original rate if he rode for a total of 140 minutes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616698 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=616698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "              rates        time       distance\r\n" );
document.write( "part 1         r            5/r       5\r\n" );
document.write( "part 2         r-2          6/(r-2)   6\r\n" );
document.write( "total                       7/3\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "Time sum equation,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285%2Fr%2B6%2F%28r-2%29=7%2F3%29 ALIGN=MIDDLE  ALT=\"highlight_green%285%2Fr%2B6%2F%28r-2%29=7%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplest denominator  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%28r-2%29 ALIGN=MIDDLE  ALT=\"3r%28r-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%28r-2%29%285%2Fr%2B6%2F%28r-2%29%29=3r%28r-2%29%287%2F3%29 ALIGN=MIDDLE  ALT=\"3r%28r-2%29%285%2Fr%2B6%2F%28r-2%29%29=3r%28r-2%29%287%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A5%28r-2%29%2B3%2A6%2Ar=r%28r-2%29%2A7 ALIGN=MIDDLE  ALT=\"3%2A5%28r-2%29%2B3%2A6%2Ar=r%28r-2%29%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15r-30%2B18r=7r%5E2-14r ALIGN=MIDDLE  ALT=\"15r-30%2B18r=7r%5E2-14r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=33r-30=7r%5E2-14r ALIGN=MIDDLE  ALT=\"33r-30=7r%5E2-14r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=7r%5E2-14r-33r%2B30 ALIGN=MIDDLE  ALT=\"0=7r%5E2-14r-33r%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287r%5E2-47r%2B30=0%29 ALIGN=MIDDLE  ALT=\"highlight%287r%5E2-47r%2B30=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Try formula for general solution to find r.<BR>\n" );
document.write( "Discriminant is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%5E2-4%2A7%2A30=2209-28%2A30=1369 ALIGN=MIDDLE  ALT=\"47%5E2-4%2A7%2A30=2209-28%2A30=1369\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%5E2 ALIGN=MIDDLE  ALT=\"37%5E2\"   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=r=%2847%2B-+37%29%2F%282%2A7%29 ALIGN=MIDDLE  ALT=\"r=%2847%2B-+37%29%2F%282%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%2847%2B-+37%29%2F14 ALIGN=MIDDLE  ALT=\"r=%2847%2B-+37%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, seems strange that both would be positive;\r<BR>\n" );
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document.write( "Either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=10%2F14=5%2F7 ALIGN=MIDDLE  ALT=\"r=10%2F14=5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=84%2F14=%287%2A12%29%2F%287%2A2%29=6 ALIGN=MIDDLE  ALT=\"r=84%2F14=%287%2A12%29%2F%287%2A2%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reasonable result may best be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28r=6%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28r=6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The subtraction of the \"2\" for the part_2 rate would make this to be the reasonable value for rate of part 1.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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