document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205730>Question 205730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hour leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155358 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=155358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "I will write 2 equations, 1 for the bus and 1 for the train<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( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%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%5Bb%5D+=+50 ALIGN=MIDDLE  ALT=\"r%5Bb%5D+=+50\"   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%5Bt%5D+=+40 ALIGN=MIDDLE  ALT=\"r%5Bt%5D+=+40\"   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=t%5Bt%5D+=+t%5Bb%5D+%2B+1 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+t%5Bb%5D+%2B+1\"   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%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+d%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (I'll call them both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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=d+=+50%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d+=+50%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+=+40%2A%28t%5Bb%5D+%2B+1%29 ALIGN=MIDDLE  ALT=\"d+=+40%2A%28t%5Bb%5D+%2B+1%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+=+40t%5Bb%5D+%2B+40 ALIGN=MIDDLE  ALT=\"d+=+40t%5Bb%5D+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll subtract these equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t%5Bb%5D ALIGN=MIDDLE  ALT=\"d+=+50t%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+=+-40t%5Bb%5D+-+40 ALIGN=MIDDLE  ALT=\"-d+=+-40t%5Bb%5D+-+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+10t%5Bb%5D+-+40 ALIGN=MIDDLE  ALT=\"0+=+10t%5Bb%5D+-+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%5Bb%5D+=+40 ALIGN=MIDDLE  ALT=\"10t%5Bb%5D+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bb%5D+=+4 ALIGN=MIDDLE  ALT=\"t%5Bb%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "Now I'll solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t%5Bb%5D ALIGN=MIDDLE  ALT=\"d+=+50t%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+=+50%2A4 ALIGN=MIDDLE  ALT=\"d+=+50%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+200 ALIGN=MIDDLE  ALT=\"d+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "The town is 200 mi from where they started<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+40t%5Bb%5D+%2B+40 ALIGN=MIDDLE  ALT=\"d+=+40t%5Bb%5D+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+40%2A4+%2B+40 ALIGN=MIDDLE  ALT=\"200+=+40%2A4+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+160+%2B+40 ALIGN=MIDDLE  ALT=\"200+=+160+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+200 ALIGN=MIDDLE  ALT=\"200+=+200\"   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=t%5Bt%5D+=t%5Bb%5D+%2B+1 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=t%5Bb%5D+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bt%5D+=+4+%2B+1 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+4+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bt%5D+=+5 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+40t%5Bt%5D ALIGN=MIDDLE  ALT=\"d+=+40t%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+40%2A5 ALIGN=MIDDLE  ALT=\"200+=+40%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200+=+200 ALIGN=MIDDLE  ALT=\"200+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );