document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395031>Question 395031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of a passenger train is 12 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.\r<BR>\n" );
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document.write( "What is the speed of the passenger train<BR>\n" );
document.write( "What is the speed of the freight train </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280379 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=280379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Time is the same for both examples.<BR>\n" );
document.write( "For freight train:<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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250+=+r%5Bf%5D%2At ALIGN=MIDDLE  ALT=\"250+=+r%5Bf%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For passenger train:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310+=+%28r%5Bf%5D+%2B+12%29%2At ALIGN=MIDDLE  ALT=\"310+=+%28r%5Bf%5D+%2B+12%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 equation and 2 unknowns, so it's solvable<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310+=+r%5Bf%5D%2At+%2B+12t%7D%7D%0D%0ABy+substitution%3A%0D%0A%282%29+%7B%7B%7B310+=+250+%2B+12t ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60+=+12t ALIGN=MIDDLE  ALT=\"60+=+12t\"   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( "-----------<BR>\n" );
document.write( "From (1):<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250+=+r%5Bf%5D%2At ALIGN=MIDDLE  ALT=\"250+=+r%5Bf%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bf%5D+=+250%2F5 ALIGN=MIDDLE  ALT=\"r%5Bf%5D+=+250%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bf%5D+=+50 ALIGN=MIDDLE  ALT=\"r%5Bf%5D+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "and,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bf%5D+%2B+12+=+62 ALIGN=MIDDLE  ALT=\"r%5Bf%5D+%2B+12+=+62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speed of the passenger train is 62 mi/hr<BR>\n" );
document.write( "The speed of the freight train is 50 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310+=+r%5Bf%5D%2At+%2B+12t%7D%7D%0D%0A%7B%7B%7B310+=+50%2A5+%2B+12%2A5 ALIGN=MIDDLE  ALT=\"310+=+r%5Bf%5D%2At+%2B+12t%7D%7D%0D%0A%7B%7B%7B310+=+50%2A5+%2B+12%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310+=+250+%2B+60 ALIGN=MIDDLE  ALT=\"310+=+250+%2B+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=310+=+310 ALIGN=MIDDLE  ALT=\"310+=+310\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );