document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124082>Question 124082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91000 by </B><A HREF=/tutors/aboutme.mpl?userid=PBMathandscience><B>PBMathandscience(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PBMathandscience><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = speed x time.\r<BR>\n" );
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document.write( "Let T be the time for the express train.  Then the time for the first train is T+2.\r<BR>\n" );
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document.write( "The distance covered by the first train is therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2A%28T%2B2%29 ALIGN=MIDDLE  ALT=\"75%2A%28T%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The distance covered by the express train is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2AT ALIGN=MIDDLE  ALT=\"125%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equating the distances:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2A%28T%2B2%29=125%2AT ALIGN=MIDDLE  ALT=\"75%2A%28T%2B2%29=125%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2AT%2B150=125%2AT ALIGN=MIDDLE  ALT=\"75%2AT%2B150=125%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 75*T from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150=50%2AT ALIGN=MIDDLE  ALT=\"150=50%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=T ALIGN=MIDDLE  ALT=\"3=T\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute this value for T into the distance formula for the express train:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=125%2AT ALIGN=MIDDLE  ALT=\"D=125%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=125%2A3 ALIGN=MIDDLE  ALT=\"D=125%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=375 ALIGN=MIDDLE  ALT=\"D=375\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So they will meet 375 km from the train station.  Check by substituting into the equation for the first train.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=75%2A%28T%2B2%29 ALIGN=MIDDLE  ALT=\"D=75%2A%28T%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375=75%2A%28T%2B2%29 ALIGN=MIDDLE  ALT=\"375=75%2A%28T%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=T%2B2 ALIGN=MIDDLE  ALT=\"5=T%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=T ALIGN=MIDDLE  ALT=\"3=T\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution checks. </SPAN>\n" );
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