document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547248>Question 547248</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 80 miles per hour and train B is traveling at 90 miles per hour. Train A passes a station at 10:10 P.M. If train B passes the same station at 10:40 P.M. at 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 #356421 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 10:40 PM, train B will be 0 miles past the station. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours after that, it will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90x ALIGN=MIDDLE  ALT=\"90x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles past the station.<BR>\n" );
document.write( "At 10:40 PM, train A will be 40 miles past the station, after traveling away from that station for 30 minutes (0.5 hours), covering 40 miles since 10:10 PM. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours after 10:40 PM, train A will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2B80x ALIGN=MIDDLE  ALT=\"40%2B80x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles away from that station.<BR>\n" );
document.write( "At some point they will be the same distance from that station, and train B will be overtaking train A. At that point, we will have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90x=40%2B80x ALIGN=MIDDLE  ALT=\"90x=40%2B80x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x=40 ALIGN=MIDDLE  ALT=\"10x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, 4 hours after 10:40 PM, both trains will be at the same distance from the station and a few passengers in train B will be waving at a few passengers in train A, as B passes A. The rest of the passengers will probably be asleep, because it will be 2:40 AM. </SPAN>\n" );
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