document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391974>Question 391974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of train A is 14mph slower than the speed of train B. Train A travels 190mi in the same time it takes train B to travel 260mi. Finf the speed of each train </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278162 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=278162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For train A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BA%5D+=+%28r+-+14%29%2At%5BA%5D ALIGN=MIDDLE  ALT=\"d%5BA%5D+=+%28r+-+14%29%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%2At%5BB%5D ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+r%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=d%5BA%5D+=+190 ALIGN=MIDDLE  ALT=\"d%5BA%5D+=+190\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+260 ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+260\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5BA%5D+=+t%5BB%5D ALIGN=MIDDLE  ALT=\"t%5BA%5D+=+t%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "(since these times are equal, I'll call them both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "I'll rewrite the equations:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190+=+%28r+-+14%29%2At ALIGN=MIDDLE  ALT=\"190+=+%28r+-+14%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260+=+r%2At ALIGN=MIDDLE  ALT=\"260+=+r%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190+=+r%2At+-+14t ALIGN=MIDDLE  ALT=\"190+=+r%2At+-+14t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260+=+r%2At ALIGN=MIDDLE  ALT=\"260+=+r%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) into (1):<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190+=+260+-+14t ALIGN=MIDDLE  ALT=\"190+=+260+-+14t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14t+=+70 ALIGN=MIDDLE  ALT=\"14t+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+5 ALIGN=MIDDLE  ALT=\"t+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Plug this back into (2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260+=+r%2A5 ALIGN=MIDDLE  ALT=\"260+=+r%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+52 ALIGN=MIDDLE  ALT=\"r+=+52\"   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+-+14+=+38 ALIGN=MIDDLE  ALT=\"r+-+14+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "Train A's speed is 38 mi/hr<BR>\n" );
document.write( "Train B's speed is 52 mi/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );