document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128001>Question 128001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves a city heading west and travels at 50 miles per hour.  Three hours later, a second train leaves from the same place and travels in the same direction at 65 miles per hour.  How long will it take for the second train to overtake the first train? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93729 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=93729\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I put a stopwatch on the 2 trains, but I wait until the moment<BR>\n" );
document.write( "the 2nd train leaves. How far has the 1st train gone at that<BR>\n" );
document.write( "point? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2A3+=+150 ALIGN=MIDDLE  ALT=\"50%2A3+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles<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;\" > = elapsed time starting when 2nd train leaves<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;\" > = distance the 1st train has to travel to the point<BR>\n" );
document.write( "where they meet<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+150 ALIGN=MIDDLE  ALT=\"d+%2B+150\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the distance the 2nd train has to travel <BR>\n" );
document.write( "to get to their meeting point<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t ALIGN=MIDDLE  ALT=\"d+=+50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+150+=+65t ALIGN=MIDDLE  ALT=\"d+%2B+150+=+65t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 1st equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the 2nd <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t+%2B+150+=+65t ALIGN=MIDDLE  ALT=\"50t+%2B+150+=+65t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15t+=+150 ALIGN=MIDDLE  ALT=\"15t+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+10 ALIGN=MIDDLE  ALT=\"t+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "It will take the 2nd train 10 hours to overtake the 1st train<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t ALIGN=MIDDLE  ALT=\"d+=+50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+150+=+65t ALIGN=MIDDLE  ALT=\"d+%2B+150+=+65t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50%2A10 ALIGN=MIDDLE  ALT=\"d+=+50%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+500 ALIGN=MIDDLE  ALT=\"d+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+150+=+65t ALIGN=MIDDLE  ALT=\"d+%2B+150+=+65t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+65%2A10+-+150 ALIGN=MIDDLE  ALT=\"d+=+65%2A10+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+500 ALIGN=MIDDLE  ALT=\"d+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );