document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064449>Question 1064449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A slow train travel from city A to city C with a speed of 50km/h. but it stops in city B for 10 minutes. An express train travel from City A to city c with a speed of 80 km/h. Distance between city A to city c is 150km. If both trains reach city C in same time. At what time express train starts its journey after starting the slow train? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679497 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=679497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the slow train T[1]<BR>\n" );
document.write( "Call the fast train  T[2]<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+50t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+50t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the headstart that train T[1] has until<BR>\n" );
document.write( "train T[2] leaves city A<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Start a stopwatch when train T[2] leaves city A<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;\" > = time on stopwatch in hrs when train T[2] reaches<BR>\n" );
document.write( "city C<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Train T[1] travels <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+150+-+50t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+150+-+50t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > during time <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( "-------------------------<BR>\n" );
document.write( "Equation for train T[1]:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+50%2A%28+t+-+10%2F60+%29+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+50%2A%28+t+-+10%2F60+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for train T[2]:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+=+80t+ ALIGN=MIDDLE  ALT=\"+150+=+80t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+10%2F60+%29+is+the+actual+travel+time+%0D%0Afor+train+T%5B1%5D+during+time+%7B%7B%7B+t+ ALIGN=MIDDLE  ALT=\"+t+-+10%2F60+%29+is+the+actual+travel+time+%0D%0Afor+train+T%5B1%5D+during+time+%7B%7B%7B+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+50%2A%28+t+-+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+50%2A%28+t+-+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+50t+-+50%2F6+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+50t+-+50%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+50t+-+25%2F3+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+50t+-+25%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+-+3d%5B1%5D+=+150t+-+25+ ALIGN=MIDDLE  ALT=\"+450+-+3d%5B1%5D+=+150t+-+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150t+%2B+3d%5B1%5D+=+475+ ALIGN=MIDDLE  ALT=\"+150t+%2B+3d%5B1%5D+=+475+\"   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=+t+=+150%2F80+ ALIGN=MIDDLE  ALT=\"+t+=+150%2F80+\"   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+=+15%2F8+ ALIGN=MIDDLE  ALT=\"+t+=+15%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "By substitution into (1):<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150%2A%2815%2F8%29+%2B+3d%5B1%5D+=+475+ ALIGN=MIDDLE  ALT=\"+150%2A%2815%2F8%29+%2B+3d%5B1%5D+=+475+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2250+%2B+24d%5B1%5D+=+3800+ ALIGN=MIDDLE  ALT=\"+2250+%2B+24d%5B1%5D+=+3800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24d%5B1%5D+=+1550+ ALIGN=MIDDLE  ALT=\"+24d%5B1%5D+=+1550+\"   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%5B1%5D+=+64.5833+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+64.5833+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+50t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+50t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50t%5B1%5D+=+64.5833+ ALIGN=MIDDLE  ALT=\"+50t%5B1%5D+=+64.5833+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+=+1.291667+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+1.291667+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.291667%2A60+=+17.5+ ALIGN=MIDDLE  ALT=\"+.291667%2A60+=+17.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "The express train leaves city A 1 hr 17 min 30 sec after <BR>\n" );
document.write( "the slow train<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+d%5B1%5D+=+50%2A%28+t+-+1%2F6+%29+ ALIGN=MIDDLE  ALT=\"+150+-+d%5B1%5D+=+50%2A%28+t+-+1%2F6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+64.5833+=+50%2A%28+1.875+-+.1667+%29+ ALIGN=MIDDLE  ALT=\"+150+-+64.5833+=+50%2A%28+1.875+-+.1667+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+64.5833+=+93.75+-+8.333+ ALIGN=MIDDLE  ALT=\"+150+-+64.5833+=+93.75+-+8.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+93.75+=+64.5833+-+8.333+ ALIGN=MIDDLE  ALT=\"+150+-+93.75+=+64.5833+-+8.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56.25+=+56.25003+ ALIGN=MIDDLE  ALT=\"+56.25+=+56.25003+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This looks close enough<BR>\n" );
document.write( "*Definitely* try to get a 2nd opinion on this<BR>\n" );
document.write( "There are a number of ways I could have messed up.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );