document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517059>Question 517059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorboat leaves the harbor at 7 am at the rate of 9 mph towards a small island. Two hours later, a cabin cruiser leaves the same station at the rate of 18 mph towards the same island. At what time will the Cabin Cruiser overtake the first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344630 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=344630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the motorboat's head start in miles?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+9%2A2+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+9%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=+18+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "Start a stopwatch when the cabin cruiser leaves<BR>\n" );
document.write( "Both will travel for the same amount of time<BR>\n" );
document.write( "For cabin cruiser:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+18t+ ALIGN=MIDDLE  ALT=\"+d+=+18t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For motorboat:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+18+=+9t+ ALIGN=MIDDLE  ALT=\"+d+-+18+=+9t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18t+-+18+=+9t+ ALIGN=MIDDLE  ALT=\"+18t+-+18+=+9t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t+=+18+ ALIGN=MIDDLE  ALT=\"+9t+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+ ALIGN=MIDDLE  ALT=\"+t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "This is the time elapsed from when the cabin cruiser left,<BR>\n" );
document.write( "which was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+%2B+2+ ALIGN=MIDDLE  ALT=\"+7+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9 AM, so<BR>\n" );
document.write( "The Cabin Cruiser overtakes the motorboat at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+2+ ALIGN=MIDDLE  ALT=\"+9+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11 AM\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );