document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214694>Question 214694</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321442338/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">  A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hr slower than the express train. They pass one another 3 hr later. What are their speeds? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162128 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=162128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hr slower than the express train. They pass one another 3 hr later. What are their speeds?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Problems of this type are all based on the equation distance = rate*time<BR>\n" );
document.write( "--------------------------------------------------------------------------<BR>\n" );
document.write( "Freight DATA:<BR>\n" );
document.write( "distance = x miles ; time = 3 hrs ; rate = d/t = x/3 mph<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Express DATA:<BR>\n" );
document.write( "distance = (390-x) miles ; time = 3 hrs ; rate = (390-x)/3<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate - rate = 30<BR>\n" );
document.write( "(390-x)/3 - x/3 = 30 mph<BR>\n" );
document.write( "390-x - x = 90<BR>\n" );
document.write( "-2x = -300<BR>\n" );
document.write( "x = 150 (distance for the freight train(<BR>\n" );
document.write( "x/3 = 50 mph (rate for the freight train)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "390-150 = 240 (distance for the express)<BR>\n" );
document.write( "240/3 = 80 mph (rate for the express train)<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );