document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874082>Question 874082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> kristin is 20 miles behind a truck that is driving 50 miles per hour. how long will it take her to catch up to the truck? how far will she go in that time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527316 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=527316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r = Kristin's speed and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%3E50 ALIGN=MIDDLE  ALT=\"r%3E50\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Her speed was not given but the order relation was implied.  She will go 20 miles more than the truck to catchup.\r<BR>\n" );
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document.write( "_______________speed_________time_________distance<BR>\n" );
document.write( "Kristin________r_____________t____________d+20<BR>\n" );
document.write( "Truck__________50____________t____________d\r<BR>\n" );
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document.write( "The unknown variables for which to solve are t and d.  We must expect r is some constant rate, but this value was not given.\r<BR>\n" );
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document.write( "These equations are what the data allow for us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28rt=d%2B20%29 ALIGN=MIDDLE  ALT=\"highlight_green%28rt=d%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2850t=d%29 ALIGN=MIDDLE  ALT=\"highlight_green%2850t=d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt-20=d ALIGN=MIDDLE  ALT=\"rt-20=d\"   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=50t=d ALIGN=MIDDLE  ALT=\"50t=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t=rt-20 ALIGN=MIDDLE  ALT=\"50t=rt-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t-rt=-20 ALIGN=MIDDLE  ALT=\"50t-rt=-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt-50t=20 ALIGN=MIDDLE  ALT=\"rt-50t=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28r-50%29=20 ALIGN=MIDDLE  ALT=\"t%28r-50%29=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=20%2F%28r-50%29%29 ALIGN=MIDDLE  ALT=\"highlight%28t=20%2F%28r-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > HOURS.\r<BR>\n" );
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document.write( "Again either equation, here choosing the truck,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=50t ALIGN=MIDDLE  ALT=\"d=50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=50%2820%2F%28r-50%29%29 ALIGN=MIDDLE  ALT=\"d=50%2820%2F%28r-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=100%2F%28r-50%29%29 ALIGN=MIDDLE  ALT=\"highlight%28d=100%2F%28r-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > MILES movement of the truck.<BR>\n" );
document.write( "This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B100%2F%28r-50%29 ALIGN=MIDDLE  ALT=\"20%2B100%2F%28r-50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles movement for Kristin.\r<BR>\n" );
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document.write( "If you knew r for Kristin, then you can find values for t and d. </SPAN>\n" );
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