document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188934>Question 188934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes a passenger train 2 hours less time than it take a freight train to make the trip from Central City to Clear Creek.  The passenger train averages 96 km/h while the freight train averages 64 km/h.  How far is it from Central City to Clear Creek? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141756 by </B><A HREF=/tutors/aboutme.mpl?userid=jonvaliente><B>jonvaliente(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jonvaliente><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=jonvaliente><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t=time it takes for the freight train to make the trip<BR>\n" );
document.write( "    t-2=time it takes for the passenger train to make the same trip\r<BR>\n" );
document.write( "\n" );
document.write( "Since distance=speed*time, and the trains traveled the same distance, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "96*(t-2)=64*t\r<BR>\n" );
document.write( "\n" );
document.write( "Simplifying...\r<BR>\n" );
document.write( "\n" );
document.write( "96t-192=64t\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting 64t from both sides, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "32t-192=0\r<BR>\n" );
document.write( "\n" );
document.write( "Adding 192 to both sides, we get:\r<BR>\n" );
document.write( "\n" );
document.write( "32t=192\r<BR>\n" );
document.write( "\n" );
document.write( "Dividing both sides by 32 we get:\r<BR>\n" );
document.write( "\n" );
document.write( "t=6 (6 hours for the freight train to make the trip)\r<BR>\n" );
document.write( "\n" );
document.write( "To get the distance, (using the distance=speed*time formula)\r<BR>\n" );
document.write( "\n" );
document.write( "distance = 64 * 6 = 384 miles\r<BR>\n" );
document.write( "\n" );
document.write( "Central City to Clear Creek is 384 miles </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );