document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338606>Question 338606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves the station at 12:00 travling 90 mph and travels 450 miles to its destination.  Another train leaves at 12:15 traveling 100 mph from the 1st train's destination.  What time will they possibly pass each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242713 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=242713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train leaves the station at 12:00 travling 90 mph and travels 450 miles to its destination. Another train leaves at 12:15 traveling 100 mph from the 1st train's destination. What time will they possibly pass each other?<BR>\n" );
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document.write( "1st train DATA:<BR>\n" );
document.write( "rate = 90 mph ; distance = x miles ; time = x/90 hrs.<BR>\n" );
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document.write( "2nd train DATA:<BR>\n" );
document.write( "rate = 100 mph ; distance = 450-x miles ; time = (450-x)/100 hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "1st train time - 2nd train time = 1/4 hr.<BR>\n" );
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document.write( "x/90 - (450-x)/100 = 1/4<BR>\n" );
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document.write( "Multiply thru by 900 to get:<BR>\n" );
document.write( "10x - 9(450-x) = 225<BR>\n" );
document.write( "10x - 9*450 + 9x = 225<BR>\n" );
document.write( "19x = 19*225<BR>\n" );
document.write( "x = 225 miles (1st train distance)<BR>\n" );
document.write( "1st train time = 225/90 = 2.5 hrs<BR>\n" );
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document.write( "Clock time when they pass one-another: 2:30 PM<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );