document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163444>Question 163444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A commercial jet can fly from San Francisco to Dallas in three hours.  A private jet can make the same trip in 3.5 hrs.  If the two planes leave San Francisco at noon, after how many hours is the private jet twice as far from Dallas as the commercial jet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120412 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=120412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of hours, so after x hours the distance between Dallas and private jet is twice the distance between Dallas and commercial plane.\r<BR>\n" );
document.write( "\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3 ALIGN=MIDDLE  ALT=\"x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents the portion of distance traveled by commercial airplane after x hours,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-+x%2F3 ALIGN=MIDDLE  ALT=\"1-+x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents the portion of total distance from Dallas to commercial air plane.\r<BR>\n" );
document.write( "\n" );
document.write( "In the same way, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+x%2F3.5 ALIGN=MIDDLE  ALT=\"1+-+x%2F3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > represent the portion of total distance between Dallas and private jet.\r<BR>\n" );
document.write( "\n" );
document.write( "So we have the equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%281-+x%2F3%29 ALIGN=MIDDLE  ALT=\"2%2A%281-+x%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+x%2F3.5 ALIGN=MIDDLE  ALT=\"1+-+x%2F3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solve it:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+-+%282x%29%2F3 ALIGN=MIDDLE  ALT=\"2+-+%282x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+x%2F3.5 ALIGN=MIDDLE  ALT=\"1+-+x%2F3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "simplify:\r<BR>\n" );
document.write( "\n" );
document.write( "1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%2F3 ALIGN=MIDDLE  ALT=\"%282x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3.5 ALIGN=MIDDLE  ALT=\"x%2F3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2A3.5%29-%283%2Ax%29%29%2F%283%2A3.5%29 ALIGN=MIDDLE  ALT=\"%28%282x%2A3.5%29-%283%2Ax%29%29%2F%283%2A3.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2F10.5 ALIGN=MIDDLE  ALT=\"4x%2F10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x = 10.5/4 = 2.625 hrs\r<BR>\n" );
document.write( "\n" );
document.write( "The answer is 2.625 hours, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+5%2F6 ALIGN=MIDDLE  ALT=\"2+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );