document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280099>Question 280099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> train A is traveling at 60 mph and train B at 80 mph. train A passes the station at 810 and train B at 825 at what time will  train B catch train A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203518 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=203518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Train A has a 15 minute head start over B if you consider<BR>\n" );
document.write( "the station as the starting point. In that time, A has gone<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2A60+=+15 ALIGN=MIDDLE  ALT=\".25%2A60+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles.<BR>\n" );
document.write( "Assume I have a stopwatch. I'll start it when B reaches the station<BR>\n" );
document.write( "If I stop it when B catches A, both trains will have been moving<BR>\n" );
document.write( "for the same length of time, which I'll call <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Ba%5D+=+60 ALIGN=MIDDLE  ALT=\"v%5Ba%5D+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5Bb%5D+=+80 ALIGN=MIDDLE  ALT=\"v%5Bb%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+d%5Ba%5D+%2B+15 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+d%5Ba%5D+%2B+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Now I can write equations for both trains<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+60t ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+%2B+15+=+80t ALIGN=MIDDLE  ALT=\"d%5Ba%5D+%2B+15+=+80t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60t+%2B+15+=+80t ALIGN=MIDDLE  ALT=\"60t+%2B+15+=+80t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t+=+15 ALIGN=MIDDLE  ALT=\"20t+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+3%2F4 ALIGN=MIDDLE  ALT=\"t+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "Train B will catch train A in 45 min, or at 8:25 + 45 = 9:05<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+60t ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+60t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+60%2A%283%2F4%29 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+60%2A%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+45 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+%2B+15+=+80t ALIGN=MIDDLE  ALT=\"d%5Ba%5D+%2B+15+=+80t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+%2B+15+=+80%2A%283%2F4%29 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+%2B+15+=+80%2A%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+%2B+15+=+60 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+%2B+15+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+45 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );