document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912941>Question 912941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train A leaves a station at 8:00 and travels at 100 km per hour towards the next city. One and a half hours later, Train B, an express, leaves the same station, traveling at 160 km per hour along the same route. At what time will Train B overtake the slower train? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554201 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=554201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find train A's head start<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+100%2A1.5+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+100%2A1.5+\"   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+=+150+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Start a stopwatch when train B 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 hours it takes <BR>\n" );
document.write( "for B to catch A<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 that B travels <BR>\n" );
document.write( "until it catches A<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Train A's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+150+=+100t+ ALIGN=MIDDLE  ALT=\"+d+-+150+=+100t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Train B's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+160t+ ALIGN=MIDDLE  ALT=\"+d+=+160t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+160t+-+150+=+100t+ ALIGN=MIDDLE  ALT=\"+160t+-+150+=+100t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60t+=+150+ ALIGN=MIDDLE  ALT=\"+60t+=+150+\"   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+=+2.5+ ALIGN=MIDDLE  ALT=\"+t+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "8:00 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.5+%2B+2.5+ ALIGN=MIDDLE  ALT=\"+1.5+%2B+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12:00<BR>\n" );
document.write( "Train B catches train A at 12:00<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+=+160t+ ALIGN=MIDDLE  ALT=\"+d+=+160t+\"   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+=+160%2A2.5+ ALIGN=MIDDLE  ALT=\"+d+=+160%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+=+400+ ALIGN=MIDDLE  ALT=\"+d+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+150+=+100t+ ALIGN=MIDDLE  ALT=\"+d+-+150+=+100t+\"   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+-+150+=+100%2A2.5+ ALIGN=MIDDLE  ALT=\"+d+-+150+=+100%2A2.5+\"   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+=+250+%2B+150+ ALIGN=MIDDLE  ALT=\"+d+=+250+%2B+150+\"   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+=+400+ ALIGN=MIDDLE  ALT=\"+d+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );