document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192905>Question 192905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the first?\r<BR>\n" );
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document.write( "If 50x represents the distance the slower train travels, then the faster train travels </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144798 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=144798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. How soon did the second train overtake the first? <BR>\n" );
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document.write( "1st train DATA:<BR>\n" );
document.write( "rate = 50 mph ; time = x hrs ; distance = rt = 50x miles<BR>\n" );
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document.write( "2nd train DATA:<BR>\n" );
document.write( "rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "distance = distance <BR>\n" );
document.write( "50x = 55(x-(1/2)<BR>\n" );
document.write( "50x = 55x - (55/2)<BR>\n" );
document.write( "-5x = -55/2<BR>\n" );
document.write( "x = 11/2<BR>\n" );
document.write( "x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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