document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96803>Question 96803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man drives 600 miles to a convention.  on the return trip he increases his speed by 10 mph and saves 2 hours driving time.  how fast did he drive going to and from the convention?\r<BR>\n" );
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document.write( "Not from a textbook..a handed out assignment. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70426 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> time=distance/rate ... let x=(speed to the convention)\r<BR>\n" );
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document.write( "600/x=(600/(x+10))+2 ... (600-2x)/x=600/(x+10) ... cross multiplying gives 6000+580x-2x^2=600x\r<BR>\n" );
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document.write( "combining and rearranging terms gives -2x^2-20x+6000=0 ... x^2+10x-3000=0\r<BR>\n" );
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document.write( "factoring gives (x+60)(x-50)=0 ... so x=-60 and x=50 ... negative value not realistic\r<BR>\n" );
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document.write( "50 mph to and 60 mph from </SPAN>\n" );
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