document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148282>Question 148282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trains A and B are traveling in the same direction on parallel lines.  Train A is traveling at 40 miles per hour and Train B is traveling 50 miles an hour. Than Train A passes a station at 12:25 PM.  If Train B passes the same station at 12:35 PM. What time will B catch up with Train A?  When will Train B catch up with Train A?<BR>\n" );
document.write( "When will Train B catch up to Train A?\r<BR>\n" );
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document.write( "Time ??? PM or AM?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108680 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=108680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine that I am a passenger on train B. I have a stopwatch and a very<BR>\n" );
document.write( "accurate clock too. I've got a cell phone and I'm in contact with <BR>\n" );
document.write( "someone at the station<BR>\n" );
document.write( "I know the seed of train A and train B also.<BR>\n" );
document.write( "I tell the station \"Let me know exactly when train A passes the station\"<BR>\n" );
document.write( "They tell me \"Train A just passed\"<BR>\n" );
document.write( "My clock tells me it's 12:25<BR>\n" );
document.write( "Then my train, train B, passes the station.<BR>\n" );
document.write( "My clock says it's 12:35. I start my stopwatch<BR>\n" );
document.write( "10 minutes have passed, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F60 ALIGN=MIDDLE  ALT=\"10%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >of an hour and since <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+=+40%2A%2810%2F60%29 ALIGN=MIDDLE  ALT=\"d+=+40%2A%2810%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+=+40%2F6 ALIGN=MIDDLE  ALT=\"d+=+40%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi<BR>\n" );
document.write( "That's how far train A is from the station when I go past the station.<BR>\n" );
document.write( "I know train A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F6 ALIGN=MIDDLE  ALT=\"40%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi ahead of me, but when I stop the<BR>\n" );
document.write( "stopwatch we will be side by side.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time from start to stop<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance I have to go to meet train A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+40%2F6 ALIGN=MIDDLE  ALT=\"d+-+40%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the distance train A has to go to meet me<BR>\n" );
document.write( "For A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+%2840%2F6%29+=+40t ALIGN=MIDDLE  ALT=\"d+-+%2840%2F6%29+=+40t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For B:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t ALIGN=MIDDLE  ALT=\"d+=+50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute the 2nd equation into the 1st<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50t+-+%2840%2F6%29+=+40t ALIGN=MIDDLE  ALT=\"50t+-+%2840%2F6%29+=+40t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300t+-+40+=+240t ALIGN=MIDDLE  ALT=\"300t+-+40+=+240t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60t+=+40 ALIGN=MIDDLE  ALT=\"60t+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+40%2F60 ALIGN=MIDDLE  ALT=\"t+=+40%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "If I started my stopwatch at 12:35 PM, then the trains meet<BR>\n" );
document.write( "at 1:15 PM answer<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50t ALIGN=MIDDLE  ALT=\"d+=+50t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+50%2A%2840%2F60%29 ALIGN=MIDDLE  ALT=\"d+=+50%2A%2840%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+=+100%2F3 ALIGN=MIDDLE  ALT=\"d+=+100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "Train A covers this distance (station to meeting) in <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F60+%2B+40%2F60+=+50%2F60 ALIGN=MIDDLE  ALT=\"10%2F60+%2B+40%2F60+=+50%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5BA%5D+=+r%5BA%5D%2At ALIGN=MIDDLE  ALT=\"d%5BA%5D+=+r%5BA%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=100%2F3+=+40%2A%2850%2F60%29 ALIGN=MIDDLE  ALT=\"100%2F3+=+40%2A%2850%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=100+=+120%2A%285%2F6%29 ALIGN=MIDDLE  ALT=\"100+=+120%2A%285%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+120%2A5 ALIGN=MIDDLE  ALT=\"600+=+120%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600+=+600 ALIGN=MIDDLE  ALT=\"600+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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