document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240198>Question 240198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train A and Train B are traveling in the same direction. Train A is traveling 120 mph, Train B is traveling 150 mph. If train A leaves the station at 2:30am, and Train B leaves the same station at 5:30am, what time will Train B catch up to Train A?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176058 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Train A and Train B are traveling in the same direction. Train A is traveling 120 mph, Train B is traveling 150 mph. If train A leaves the station at 2:30am, and Train B leaves the same station at 5:30am, what time will Train B catch up to Train A? <BR>\n" );
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document.write( "Train A DATA:<BR>\n" );
document.write( "rate = 120 mph ; distance = x miles ; time = d/r = x/120 hrs.<BR>\n" );
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document.write( "Train B DATA:<BR>\n" );
document.write( "rate = 150 mph ; distance = x miles ; time = x/150 hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time A - time B = 3 hrs.<BR>\n" );
document.write( "x/120 - x/150 = 3<BR>\n" );
document.write( "(150x - 120x) = 3*120*150<BR>\n" );
document.write( "30x = 360*150<BR>\n" );
document.write( "x = 360*5<BR>\n" );
document.write( "x = 1800<BR>\n" );
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document.write( "Time for B to catch A: 1800/150 = 12 hrs.<BR>\n" );
document.write( "Clock time will be 5:30 PM<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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