document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994849>Question 994849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves a station and travels north at a speed of 30 mph. Five hours later, a second train leaves on a parallel track and travels north at 105 mph. 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 #613807 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=613807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A very common type of travel rates exercise problem.  This will be a general solution for just that reason.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "r      speed of early, slow train\r\n" );
document.write( "R      speed of fast, late train\r\n" );
document.write( "t      travel time for fast train, left later than slow train\r\n" );
document.write( "h      amount of time passed before fast train departed\r\n" );
document.write( "d      the catch-up distance\r\n" );
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document.write( "TRAIN         speed       time     distance\r\n" );
document.write( "Early Slow      r         t+h       d\r\n" );
document.write( "Late Fast       R         t         d\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Question is to solve for d.<BR>\n" );
document.write( "The unknown variables are t and d, but you do not need to find a value for t. (Unless you WANT to).<BR>\n" );
document.write( "Initial system of equations, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28r%28t%2Bh%29=d%2CRt=d%29 ALIGN=MIDDLE  ALT=\"system%28r%28t%2Bh%29=d%2CRt=d%29\"   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=t=d%2FR ALIGN=MIDDLE  ALT=\"t=d%2FR\"   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=rt%2Brh=d ALIGN=MIDDLE  ALT=\"rt%2Brh=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28d%2FR%29%2Brh=d ALIGN=MIDDLE  ALT=\"r%28d%2FR%29%2Brh=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28d%2FR%29-d=-rh ALIGN=MIDDLE  ALT=\"r%28d%2FR%29-d=-rh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rd%2FR-d=-rh ALIGN=MIDDLE  ALT=\"rd%2FR-d=-rh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d-rd%2FR=rh ALIGN=MIDDLE  ALT=\"d-rd%2FR=rh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%281-r%2FR%29=rh ALIGN=MIDDLE  ALT=\"d%281-r%2FR%29=rh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28rh%29%2F%281-r%2FR%29 ALIGN=MIDDLE  ALT=\"d=%28rh%29%2F%281-r%2FR%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=%28rh%29%2F%28R%2FR-r%2FR%29 ALIGN=MIDDLE  ALT=\"d=%28rh%29%2F%28R%2FR-r%2FR%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=%28rh%29%2F%28%28R-r%29%2FR%29 ALIGN=MIDDLE  ALT=\"d=%28rh%29%2F%28%28R-r%29%2FR%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight_green%28d=%28rhR%29%2F%28R-r%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight_green%28d=%28rhR%29%2F%28R-r%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---The answer in symbolic form.\r<BR>\n" );
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document.write( "Your question gives you the values to use:<BR>\n" );
document.write( "Substitute these and evaluate d:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28r=30%2CR=105%2Ch=5%29 ALIGN=MIDDLE  ALT=\"system%28r=30%2CR=105%2Ch=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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