document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183239>Question 183239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 MPH and Train B is Traveling at 50 MPH. Train A passes a station at 3:10 P.M. If Train B passes the same station at 3:22 P.M. when will Train B catch Train A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137607 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=137607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Each train has it's own equation<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( "and<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( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5BA%5D+=+40 ALIGN=MIDDLE  ALT=\"r%5BA%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=r%5BB%5D+=+50 ALIGN=MIDDLE  ALT=\"r%5BB%5D+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "Assume I have a stopwatch, and I start it when<BR>\n" );
document.write( "when train B passes the station 12 min, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F60 ALIGN=MIDDLE  ALT=\"12%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of an hour after train A has passed. I will stop<BR>\n" );
document.write( "the stopwatch when they meet.<BR>\n" );
document.write( "How much of a headstart does train A have when B<BR>\n" );
document.write( "passes the station? Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bh%5D ALIGN=MIDDLE  ALT=\"d%5Bh%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = headstart distance<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bh%5D+=+r%5BA%5D%2At%5Bh%5D ALIGN=MIDDLE  ALT=\"d%5Bh%5D+=+r%5BA%5D%2At%5Bh%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%5Bh%5D+=+40%2A%2812%2F60%29 ALIGN=MIDDLE  ALT=\"d%5Bh%5D+=+40%2A%2812%2F60%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%5Bh%5D+=+8 ALIGN=MIDDLE  ALT=\"d%5Bh%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "the distance A has to travel compared to B is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BA%5D+=+d%5BB%5D+-+8 ALIGN=MIDDLE  ALT=\"d%5BA%5D+=+d%5BB%5D+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "Their time of travel will be the same<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;\" > (I'll call it <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 can rewrite the equations<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%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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+-+8+=+40t ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+8+=+40t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+50t ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+50t\"   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=d%5BB%5D+-+40t+=+8 ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+40t+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+-+50t+=+0 ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+50t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+-+40t+=+8 ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+40t+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-d%5BB%5D+%2B+50t+=+0 ALIGN=MIDDLE  ALT=\"-d%5BB%5D+%2B+50t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t+=+8 ALIGN=MIDDLE  ALT=\"10t+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4%2F5 ALIGN=MIDDLE  ALT=\"t+=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr (or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8%2A60+=+48 ALIGN=MIDDLE  ALT=\".8%2A60+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" >min) <BR>\n" );
document.write( "This is the time that passes since train B goes through<BR>\n" );
document.write( "station at 3:22 PM <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22+%2B+48+=+70 ALIGN=MIDDLE  ALT=\"22+%2B+48+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The trains will meet at 4:10 PM<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+-+8+=+40t ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+8+=+40t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+50t ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+-+8+=+40%2A%284%2F5%29 ALIGN=MIDDLE  ALT=\"d%5BB%5D+-+8+=+40%2A%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+32+%2B+8 ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+32+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+40 ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+50%2A%284%2F5%29 ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+50%2A%284%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BB%5D+=+40 ALIGN=MIDDLE  ALT=\"d%5BB%5D+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );