document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891545>Question 891545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lengths of two trains are 220metres,180metres respectively. They overtake together in opposite direction in 16 seconds and they overtake in same direction in 1 minute. find the speeds of the two trains </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539830 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=539830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can think of this as one of the trains<BR>\n" );
document.write( "moving at either the sum or the difference<BR>\n" );
document.write( "of their speeds, and the other train standing<BR>\n" );
document.write( "still.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B1%5D+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster train<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B2%5D+ ALIGN=MIDDLE  ALT=\"+s%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the slower train<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Trains traveling in opposite directions:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+220+%2B+180+=+%28+s%5B1%5D+%2B+s%5B2%5D+%29%2A16+ ALIGN=MIDDLE  ALT=\"+220+%2B+180+=+%28+s%5B1%5D+%2B+s%5B2%5D+%29%2A16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Trains traveling in same direction:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+220+%2B+180+=+%28+s%5B1%5D+-+s%5B2%5D+%29%2A60+ ALIGN=MIDDLE  ALT=\"+220+%2B+180+=+%28+s%5B1%5D+-+s%5B2%5D+%29%2A60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "In both cases, the length of one train has to <BR>\n" );
document.write( "completely pass the length of the other, so<BR>\n" );
document.write( "you add the lengths.<BR>\n" );
document.write( "It takes longer to pass going in the same <BR>\n" );
document.write( "direction, so you subtract the speeds<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+%2F16+=+s%5B1%5D+%2B+s%5B2%5D+ ALIGN=MIDDLE  ALT=\"+400+%2F16+=+s%5B1%5D+%2B+s%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B1%5D+%2B+s%5B2%5D+=+25+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+%2B+s%5B2%5D+=+25+\"   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=+400%2F60+=+s%5B1%5D+-+s%5B2%5D+ ALIGN=MIDDLE  ALT=\"+400%2F60+=+s%5B1%5D+-+s%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B1%5D+-+s%5B2%5D+=+20%2F3+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+-+s%5B2%5D+=+20%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Add the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5B1%5D+=+95%2F3+ ALIGN=MIDDLE  ALT=\"+2s%5B1%5D+=+95%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B1%5D+=+95%2F6+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+=+95%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B1%5D+=+15.833+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+=+15.833+\"   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=+s%5B1%5D+-+s%5B2%5D+=+20%2F3+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+-+s%5B2%5D+=+20%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+95%2F6+-+s%5B2%5D+=+40%2F6+ ALIGN=MIDDLE  ALT=\"+95%2F6+-+s%5B2%5D+=+40%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B2%5D+=+55%2F6+ ALIGN=MIDDLE  ALT=\"+s%5B2%5D+=+55%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5B2%5D+=+9.166+ ALIGN=MIDDLE  ALT=\"+s%5B2%5D+=+9.166+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speeds of the trains are 15.833 m/sec<BR>\n" );
document.write( "and 9.166 m/sec<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+%2F16+=+s%5B1%5D+%2B+s%5B2%5D+ ALIGN=MIDDLE  ALT=\"+400+%2F16+=+s%5B1%5D+%2B+s%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+%2F16+=+15.833+%2B+9.166+ ALIGN=MIDDLE  ALT=\"+400+%2F16+=+15.833+%2B+9.166+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+=+25+ ALIGN=MIDDLE  ALT=\"+25+=+25+\"   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=+s%5B1%5D+-+s%5B2%5D+=+20%2F3+ ALIGN=MIDDLE  ALT=\"+s%5B1%5D+-+s%5B2%5D+=+20%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15.833+-+9.166+=+6.666+ ALIGN=MIDDLE  ALT=\"+15.833+-+9.166+=+6.666+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.666+=+6.666+ ALIGN=MIDDLE  ALT=\"+6.666+=+6.666+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );