document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150145>Question 1150145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A minivan leaves Topeka at 8:00am. Half an hour later, a car leaves Topeka and follows the same route as the minivan. The car's speed is 5mph faster than the minivan's speed. If the car catches up to the minivan at 3:30 pm, how fast is each vehicle traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771510 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=771510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the minivan in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+5+ ALIGN=MIDDLE  ALT=\"+s+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the car in mi/hr<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "From 8:30AM to 3:30 PM is 7 hrs<BR>\n" );
document.write( "The minivan's head start is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+s%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the car travels from<BR>\n" );
document.write( "8:30 until it catches the minivan at 3:30 PM<BR>\n" );
document.write( "Start a stopwatch when the car leaves at 8:30<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "Equation for the minivan:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+-+.5s++=+s%2A7++ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+-+.5s++=+s%2A7++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for the car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+%28+s+%2B+5+%29%2A7+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+%28+s+%2B+5+%29%2A7+\"   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=+%28+s+%2B+5+%29%2A7+-+.5s+=+7s+ ALIGN=MIDDLE  ALT=\"+%28+s+%2B+5+%29%2A7+-+.5s+=+7s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7s+%2B+35+-+.5s+=+7s+ ALIGN=MIDDLE  ALT=\"+7s+%2B+35+-+.5s+=+7s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.5s+=+35+ ALIGN=MIDDLE  ALT=\"+.5s+=+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+70+ ALIGN=MIDDLE  ALT=\"+s+=+70+\"   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=+s+%2B+5+=+75+ ALIGN=MIDDLE  ALT=\"+s+%2B+5+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The car's speed is 75 mi/hr<BR>\n" );
document.write( "The minivan's speed is 70 mi/hr<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%5B1%5D+-+.5s++=+s%2A7++ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+-+.5s++=+s%2A7++\"   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%5B1%5D+-+.5%2A70+=+70%2A7+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+-+.5%2A70+=+70%2A7+\"   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%5B1%5D+=+490+%2B+35+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+490+%2B+35+\"   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%5B1%5D+=+525+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+525+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+%28+s+%2B+5+%29%2A7+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+%28+s+%2B+5+%29%2A7+\"   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%5B1%5D+=+75%2A7+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+75%2A7+\"   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%5B1%5D+=+525+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+525+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );