document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996366>Question 996366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tricia drove 1,400 miles from her home to Dallas. On the way back home, she averaged 6 miles per hour more, and the drive back home took her 3 hours less. Find Tricia's average speed on the way to Dallas. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614834 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=614834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let r be speed going to dallas<BR>\n" );
document.write( "let t be time going to dallas<BR>\n" );
document.write( "Other known given variables<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28k=3%2Cd=1400%2Cj=6%29 ALIGN=MIDDLE  ALT=\"system%28k=3%2Cd=1400%2Cj=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Generalized data table according to variables described<BR>\n" );
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document.write( "          speed   time     distance\r\n" );
document.write( "TO         r       t        d\r\n" );
document.write( "FROM      r+j      t-k      d\r\n" );
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document.write( "Uniform Travel Rate rule works like RT=D relating speed, time, distance.  You want to form a system of equations and solve for the value of r, or a formula for r and then evaluate.\r<BR>\n" );
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document.write( "System should be, if keeping all in symbols,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28rt=d%2C%28r%2Bj%29%28t-k%29=d%29 ALIGN=MIDDLE  ALT=\"system%28rt=d%2C%28r%2Bj%29%28t-k%29=d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Working through the system, you should obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28kr%5E2%2Bjkr-jd=0%29 ALIGN=MIDDLE  ALT=\"highlight%28kr%5E2%2Bjkr-jd=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, from which you can get a formula for r.  (You may also find that substituting the given values into the quadratic equation now may give a fairly easy equation to deal with or maybe/maybe-not factorize).\r<BR>\n" );
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document.write( "Substituting for the given numbers now and simplifying in fact gives the quadratic  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r%5E2%2B6r-2800=0%29 ALIGN=MIDDLE  ALT=\"highlight%28r%5E2%2B6r-2800=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Go from that.<BR>\n" );
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document.write( "Formula for general solution for quadratic equation will accordingly give  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28r=%28-6%2B106%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28r=%28-6%2B106%29%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the PLUS-form. </SPAN>\n" );
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