document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490162>Question 490162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An ocean liner, traveling at 30 km/h leaves port at 7:00am. At 10:00 am, a helicopter leaves the same port and travels the same route at 66 km//h. At what time will the helicopter overtake the liner? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333877 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=333877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each<BR>\n" );
document.write( "The liner:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+r%2At+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+r%2At+\"   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+=+30t+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The helicopter:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+r%2At+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+66t+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+66t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Wait until the helicopter leaves the port,<BR>\n" );
document.write( "and start a stopwatch. Also, figure out how much <BR>\n" );
document.write( "of a head start the liner got<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Bhs%5D+=+30%2A3+ ALIGN=MIDDLE  ALT=\"+d%5Bhs%5D+=+30%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (3 hrs)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5Bhs%5D+=+90+ ALIGN=MIDDLE  ALT=\"+d%5Bhs%5D+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Both will travel for the same amount of time, but<BR>\n" );
document.write( "the liner will travel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+ ALIGN=MIDDLE  ALT=\"+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km less distance<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+66t+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+66t+\"   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%5B2%5D+-+90+=+30t+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+-+90+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable<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=+66t+-+90+=+30t+ ALIGN=MIDDLE  ALT=\"+66t+-+90+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36t+=+90+ ALIGN=MIDDLE  ALT=\"+36t+=+90+\"   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+=+2.5+ ALIGN=MIDDLE  ALT=\"+t+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "This is the time elapsed from when the <BR>\n" );
document.write( "helicopter leaves at 10 am, so it catches up<BR>\n" );
document.write( "with the line at 12:30<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+66t+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+66t+\"   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%5B2%5D+=+66%2A2.5%0D%0A%281%29+%7B%7B%7B+d%5B2%5D+=+165+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+66%2A2.5%0D%0A%281%29+%7B%7B%7B+d%5B2%5D+=+165+\"   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%5B2%5D+-+90+=+30t+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+-+90+=+30t+\"   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%5B2%5D+-+90+=+30%2A2.5+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+-+90+=+30%2A2.5+\"   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%5B2%5D+=+90+%2B+75+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+90+%2B+75+\"   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%5B2%5D+=+165+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+165+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );