document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730589>Question 730589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kathy and Gilbert drove a total of 568 miles in 11 hours. Gilbert drove at an average of 45mph and Kathy drove at an average of 55mph. How long did Gilbert drive?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446737 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=446737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let g = hours that Gilbert drove. Let k = hours that Kathy drove.\r<BR>\n" );
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document.write( "Driver_________rate_____________time______________distance<BR>\n" );
document.write( "Gilbert________45_______________g_________________45*g<BR>\n" );
document.write( "Kathy__________55_______________k_________________55*k<BR>\n" );
document.write( "TOTAL___________________________11________________568\r<BR>\n" );
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document.write( "Deciding to use two variables was tricky.  I know of no formal method to decide to choose those two variables, g and k, for the drive time of each driver.  The data as arranged indicates the obvious system of two equations:\r<BR>\n" );
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document.write( "SYSTEM:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%2Bk=11%29 ALIGN=MIDDLE  ALT=\"highlight%28g%2Bk=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "AND<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2845g%2B55k=568%29 ALIGN=MIDDLE  ALT=\"highlight%2845g%2B55k=568%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve that system for g and k.   </SPAN>\n" );
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