document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578745>Question 578745</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 40 miles per hour and train B is traveling at 44 miles per hour. Train A passes a station at 4:20 PM. If train B passes the same staion at 4:50 PM, 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 #370753 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Essentially, train A has a 30 minute (1/2 hour) headstart, at 40 mph, that is 20 miles head-start\r<BR>\n" );
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document.write( "We want to solve for when the distance they travel is equal:\r<BR>\n" );
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document.write( "t is zero starting when train B passes the station:\r<BR>\n" );
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document.write( "D(a) = 40t+20<BR>\n" );
document.write( "D(b) = 44t\r<BR>\n" );
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document.write( "40t+20 = 44t<BR>\n" );
document.write( "4t = 20<BR>\n" );
document.write( "t= 5 hours\r<BR>\n" );
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document.write( "5 hours from 4:50 PM, so 9:50 PM  </SPAN>\n" );
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