document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023427>Question 1023427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary left the hardware store and traveled toward her cabin on the lake at an average speed of 52 mph. Stefan left one hour later and traveled in the same direction but with an average speed of 65 mph. How long did Mary travel before Stefan caught up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638987 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=638987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is Mary's head start in miles?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+52%2A1+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+52%2A1+\"   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+=+52+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+52+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Start a stopwatch when Stefan 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 in hrs on the stopwatch when<BR>\n" );
document.write( "he catches up with Mary.<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 in miles that Stefan<BR>\n" );
document.write( "has traveled until he catches up with Mary<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "Mary's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+52+=+52t+ ALIGN=MIDDLE  ALT=\"+d+-+52+=+52t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Stefan's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+65t+ ALIGN=MIDDLE  ALT=\"+d+=+65t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Plug (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+65t+-+52+=+52t+ ALIGN=MIDDLE  ALT=\"+65t+-+52+=+52t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+13t+=+52+ ALIGN=MIDDLE  ALT=\"+13t+=+52+\"   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+=+4+ ALIGN=MIDDLE  ALT=\"+t+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+65%2A4+ ALIGN=MIDDLE  ALT=\"+d+=+65%2A4+\"   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+=+260+ ALIGN=MIDDLE  ALT=\"+d+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Mary traveled 260 miles before Stefan caught up<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "( note that this 260 mi INCLUDES the 52 mi head start she had,<BR>\n" );
document.write( "so she traveled another <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+260+-+52+=+208+ ALIGN=MIDDLE  ALT=\"+260+-+52+=+208+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi AFTER<BR>\n" );
document.write( "Stefan left )<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+52+=+52t+ ALIGN=MIDDLE  ALT=\"+d+-+52+=+52t+\"   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+-+52+=+52%2A4+ ALIGN=MIDDLE  ALT=\"+d+-+52+=+52%2A4+\"   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+=+208+%2B+52+ ALIGN=MIDDLE  ALT=\"+d+=+208+%2B+52+\"   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+=+260+ ALIGN=MIDDLE  ALT=\"+d+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );