document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602068>Question 602068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I could really use some help on this word problem. If I could set up the equation I could solve it but I am having trouble. Please help.\r<BR>\n" );
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document.write( "Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 mph and train B is traveling at 90 mph. Train A passes a station at 9:20 P.M. If train B passes the same station at 9:32 P.M., what time will train B catch up to 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 #380099 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=380099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much of a head start does train A have? The<BR>\n" );
document.write( "head start is from 9:20 to 9:32, which is 12 minutes.<BR>\n" );
document.write( "In 12 minutes, train A travels<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80%2A%2812%2F60%29+=+80%2F5+ ALIGN=MIDDLE  ALT=\"+80%2A%2812%2F60%29+=+80%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80%2F5+=+16+ ALIGN=MIDDLE  ALT=\"+80%2F5+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles ( note that 12 min is 12/60 hours )<BR>\n" );
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document.write( "Now start a stopwatch when train B leaves the station.<BR>\n" );
document.write( "Both trains will travel for the same amount of time <BR>\n" );
document.write( "until they meet.<BR>\n" );
document.write( "Let the time until they meet = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "Let the distance that train B has to travel = <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" );
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document.write( "Equation for A:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+16+=+80t+ ALIGN=MIDDLE  ALT=\"+d+-+16+=+80t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for B:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+90t+ ALIGN=MIDDLE  ALT=\"+d+=+90t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<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=+90t+-+16+=+80t+ ALIGN=MIDDLE  ALT=\"+90t+-+16+=+80t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10t+=+16+ ALIGN=MIDDLE  ALT=\"+10t+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.6+ ALIGN=MIDDLE  ALT=\"+t+=+1.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.6%2A60+=+36+ ALIGN=MIDDLE  ALT=\"+.6%2A60+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes<BR>\n" );
document.write( "B will catch up to A 1 hour and 36 minutes after<BR>\n" );
document.write( "9:32, which is 11:08 PM\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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