document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324236>Question 324236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brenda and Randy bicycling across country. Brenda rode 30miles. Traveling 5 miles per hour faster and putting in one hour more, Randy covered twice the distance of Brenda. What is the speed of each cyclist.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232153 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate*Time=Distance<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb ALIGN=MIDDLE  ALT=\"Rb\"   DISABLED_style= \"max-width:90%; height:auto;\" >=Brenda's rate (speed) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rr ALIGN=MIDDLE  ALT=\"Rr\"   DISABLED_style= \"max-width:90%; height:auto;\" >=Randy's rate.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb%2AT=30 ALIGN=MIDDLE  ALT=\"Rb%2AT=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=30%2FRb ALIGN=MIDDLE  ALT=\"T=30%2FRb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rr%2A%28T%2B1%29=60 ALIGN=MIDDLE  ALT=\"Rr%2A%28T%2B1%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rr=Rb%2B5 ALIGN=MIDDLE  ALT=\"Rr=Rb%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Rb%2B5%29%28T%2B1%29=60 ALIGN=MIDDLE  ALT=\"%28Rb%2B5%29%28T%2B1%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Rb%2B5%29%2830%2FRb%2BRb%2FRb%29=60 ALIGN=MIDDLE  ALT=\"%28Rb%2B5%29%2830%2FRb%2BRb%2FRb%29=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Rb%2B5%29%2830%2BRb%29=60Rb ALIGN=MIDDLE  ALT=\"%28Rb%2B5%29%2830%2BRb%29=60Rb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30Rb%2BRb%5E2%2B150%2B5Rb=60Rb ALIGN=MIDDLE  ALT=\"30Rb%2BRb%5E2%2B150%2B5Rb=60Rb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb%5E2-25Rb%2B150=0 ALIGN=MIDDLE  ALT=\"Rb%5E2-25Rb%2B150=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Rb-10%29%28Rb-15%29=0 ALIGN=MIDDLE  ALT=\"%28Rb-10%29%28Rb-15%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb-10=0 ALIGN=MIDDLE  ALT=\"Rb-10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb=10 ALIGN=MIDDLE  ALT=\"Rb=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph<BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rr=15 ALIGN=MIDDLE  ALT=\"Rr=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb-15=0 ALIGN=MIDDLE  ALT=\"Rb-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rb=15 ALIGN=MIDDLE  ALT=\"Rb=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph<BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Rr=20 ALIGN=MIDDLE  ALT=\"Rr=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph </SPAN>\n" );
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