document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921102>Question 921102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance you travel is a function of your average speed and the time you travelled at that speed.  Two cars left Sequoia two hours apart.  The first car travelled at 30 mph and the second car travelled at 40 mph.  How long before both cars travelled the same distance>\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "buntcake49@sbcglobal.net </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558702 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 1st car's head start is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+30%2A2+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+30%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+60+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Start a stopwatch when the 2nd car leaves<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time on the stopwatch<BR>\n" );
document.write( "when the cars have traveled the same distance<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the 2nd car travels<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "1st car's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+60+=+30t+ ALIGN=MIDDLE  ALT=\"+d+-+60+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd car's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+40t+ ALIGN=MIDDLE  ALT=\"+d+=+40t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40t+-+60+=+30t+ ALIGN=MIDDLE  ALT=\"+40t+-+60+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10t+=+60+ ALIGN=MIDDLE  ALT=\"+10t+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6+ ALIGN=MIDDLE  ALT=\"+t+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+6+=+8+ ALIGN=MIDDLE  ALT=\"+2+%2B+6+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs after the 1st car leaves<BR>\n" );
document.write( "both cars have traveled the same distance<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+40%2A6+ ALIGN=MIDDLE  ALT=\"+d+=+40%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=240+ ALIGN=MIDDLE  ALT=\"+d+=240+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+60+=+30%2A6+ ALIGN=MIDDLE  ALT=\"+d+-+60+=+30%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+180+%2B+60+ ALIGN=MIDDLE  ALT=\"+d+=+180+%2B+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+240+ ALIGN=MIDDLE  ALT=\"+d+=+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Note that the 1st car travels <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+240+-+60+=+180+ ALIGN=MIDDLE  ALT=\"+240+-+60+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "during the time the 2nd car travels <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+240+ ALIGN=MIDDLE  ALT=\"+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi, <BR>\n" );
document.write( "but the total miles for each car is the same: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+240+ ALIGN=MIDDLE  ALT=\"+240+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi\r<BR>\n" );
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