document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174165>Question 174165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. At 5:00 a.m., a train leaves a station and travels at a rate of 35 mph.  At 7:00 a.m., a second train leaves the same station on the same track and travels in the direction of the first train at a speed of 45 mph. At 8:00 a.m., how many miles seperate the two trains?\r<BR>\n" );
document.write( "\n" );
document.write( "solve:<BR>\n" );
document.write( "2. 1/3x-2=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129096 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=129096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For both trains, the same formula applies, but I'll write it<BR>\n" );
document.write( "differently for each train so I keep track of each train's data<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+r%2At ALIGN=MIDDLE  ALT=\"d+=+r%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >=distance in miles<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >= speed in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= elapsed time in hrs<BR>\n" );
document.write( "For train a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For train b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Ba%5D+=+35 ALIGN=MIDDLE  ALT=\"r%5Ba%5D+=+35\"   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=r%5Bb%5D+=+45 ALIGN=MIDDLE  ALT=\"r%5Bb%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "I want to have<BR>\n" );
document.write( "the start time for both trains the same, at 7 AM, <BR>\n" );
document.write( "so I want to know how far train a has gone between<BR>\n" );
document.write( "5 AM and 7 AM<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+35%2A2 ALIGN=MIDDLE  ALT=\"d+=+35%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+70 ALIGN=MIDDLE  ALT=\"d+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "Now the trains will both travel for 1 hr, 7 AM to 8 AM<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D\"   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+=+35%2A1 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+35%2A1\"   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+=+35 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5Bb%5D+=+45%2A1 ALIGN=MIDDLE  ALT=\"s%5Bb%5D+=+45%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+45 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+-+d%5Ba%5D+=+45+-+35 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+-+d%5Ba%5D+=+45+-+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+-+d%5Ba%5D+=+10 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+-+d%5Ba%5D+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "So, train b has gained 10 mi on train a, but train a<BR>\n" );
document.write( "already had a 70 mi head start on train b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70+-+10+=+60 ALIGN=MIDDLE  ALT=\"70+-+10+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Train a is 60 mi ahead of train b<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "For train a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+r%5Ba%5D%2At%5Ba%5D\"   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+=+35%2A3 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+35%2A3\"   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+=+105 ALIGN=MIDDLE  ALT=\"d%5Ba%5D+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "For train b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+45%2A1 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+45%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+45 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "The difference is 60 mi<BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );