document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080922>Question 1080922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A northbound train left at midnight. Three hours later, a southbound train left the same station. \r<BR>\n" );
document.write( "\n" );
document.write( "At 6 a.m. the two trains were 330 miles apart. Find the rate of each train if the northbound train traveled 10 miles per hour faster than the southbound train.\r<BR>\n" );
document.write( "\n" );
document.write( "Draw graph to display problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695008 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A be the northbound train, B the southbound.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BA%5D=10%2BR%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BA%5D=10%2BR%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance covered by A was,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BA%5D=R%5BA%5D%2At=6%2AR%5BA%5D ALIGN=MIDDLE  ALT=\"D%5BA%5D=R%5BA%5D%2At=6%2AR%5BA%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance covered by A was,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5BB%5D=R%5BB%5D%2At=3%2AR%5BB%5D ALIGN=MIDDLE  ALT=\"D%5BB%5D=R%5BB%5D%2At=3%2AR%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance between them is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=D%5BA%5D%2BD%5BB%5D ALIGN=MIDDLE  ALT=\"D=D%5BA%5D%2BD%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=6R%5BA%5D%2B3R%5BB%5D=330 ALIGN=MIDDLE  ALT=\"6R%5BA%5D%2B3R%5BB%5D=330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting from 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2810%2BR%5BB%5D%29%2B3R%5BB%5D=330 ALIGN=MIDDLE  ALT=\"6%2810%2BR%5BB%5D%29%2B3R%5BB%5D=330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2B6R%5BB%5D%2B3R%5BB%5D=330 ALIGN=MIDDLE  ALT=\"60%2B6R%5BB%5D%2B3R%5BB%5D=330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9R%5BB%5D=270 ALIGN=MIDDLE  ALT=\"9R%5BB%5D=270\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then use either equation to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5BB%5D ALIGN=MIDDLE  ALT=\"R%5BB%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Is the graph displaying distance traveled versus time?<BR>\n" );
document.write( "If so then, between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=D%5BA%5D=R%5BA%5D%2At ALIGN=MIDDLE  ALT=\"D=D%5BA%5D=R%5BA%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E3 ALIGN=MIDDLE  ALT=\"t%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=%28R%5BA%5D%2BR%5BB%5D%29%2At ALIGN=MIDDLE  ALT=\"D=%28R%5BA%5D%2BR%5BB%5D%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );