document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178308>Question 178308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <Not sure really which catagory this is in?>\r<BR>\n" );
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document.write( "Train A and B are traveling in the same direction on parrallel tracks. Train A at 80 miles per hour and train B at 90 miles per hour. Train A passes a station at 7:20pm. If train B passes the same station at 7:32pm, at what time will train B catch up to train A? \r<BR>\n" );
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document.write( "My answer would be N, not defined becuase they are travling at different speeds. However, train B is going faster than train A. If I had to guess, I would say 8:43pm I'm confused, please help me. Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133279 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=133279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the slower train was bhind the faster train, <BR>\n" );
document.write( "the slower train would never catch up.<BR>\n" );
document.write( "This problem puts the faster train behind the slower<BR>\n" );
document.write( "one, so it has a chance to catch up.<BR>\n" );
document.write( "7:32 minus 7:20 is 12 minutes. That's the elapsed<BR>\n" );
document.write( "time between the slower train passing the station<BR>\n" );
document.write( "and the faster train passing it<BR>\n" );
document.write( "How far did the 1st train go in that 12 min?<BR>\n" );
document.write( "12 min is 12/60 of an hour<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+80%2A%2812%2F60%29 ALIGN=MIDDLE  ALT=\"d+=+80%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+=+16 ALIGN=MIDDLE  ALT=\"d+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "So, train A has a 16 mi headstart over B<BR>\n" );
document.write( "If I have a stopwatch, and I start it when train B<BR>\n" );
document.write( "passes the station, and I'm also able to stop it<BR>\n" );
document.write( "when B catches A, They'll both be travelling for the<BR>\n" );
document.write( "same length of time, except A is 16 mi closer to<BR>\n" );
document.write( "where they're going to meet.<BR>\n" );
document.write( "For B:<BR>\n" );
document.write( "(1) <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( "For A:<BR>\n" );
document.write( "<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;\" > (notice <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same for both)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+80t+%2B+16 ALIGN=MIDDLE  ALT=\"d+=+80t+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since both are equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I'll set the <BR>\n" );
document.write( "right sides equal to eachother<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t+=+80t+%2B+16 ALIGN=MIDDLE  ALT=\"90t+=+80t+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "<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;\" >hr<BR>\n" );
document.write( "This is 1 hr + <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;\" >min<BR>\n" );
document.write( "This is the elapsed time since 7:32 when B passed the station <BR>\n" );
document.write( "7:32 + 1 = 8:32 and 8:32 + 36 min = 9:08<BR>\n" );
document.write( "Train B catches up to train A at 9:08<BR>\n" );
document.write( "I'll check my answer:<BR>\n" );
document.write( "What's the distance from the station to where they meet?<BR>\n" );
document.write( "(1) <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+90%2A1.6 ALIGN=MIDDLE  ALT=\"d+=+90%2A1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+144 ALIGN=MIDDLE  ALT=\"d+=+144\"   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+=+80t+%2B+16 ALIGN=MIDDLE  ALT=\"d+=+80t+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+=+80t+%2B+16 ALIGN=MIDDLE  ALT=\"144+=+80t+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80t+=+144+-+16 ALIGN=MIDDLE  ALT=\"80t+=+144+-+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80t+=+128 ALIGN=MIDDLE  ALT=\"80t+=+128\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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;\" >hr<BR>\n" );
document.write( "OK </SPAN>\n" );
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