document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163985>Question 1163985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two cities, A, and B. A fast train can go from A to B in 8 hours. A slow train can go from B to A in 12 hours. They start from the two cities toward each other at the same time. when they met, the fast train went 192 km more than the slow train. How far is it from A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788257 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two cities, A, and B. A fast train can go from A to B in 8 hours.<BR>\n" );
document.write( " A slow train can go from B to A in 12 hours.<BR>\n" );
document.write( " They start from the two cities toward each other at the same time.<BR>\n" );
document.write( " when they met, the fast train went 192 km more than the slow train.<BR>\n" );
document.write( " How far is it from A and B?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = the distance traveled by the slow train to the meeting point<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+192) = the distance traveled by the fast train to the meeting point<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2x+192) = the distance from A to B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "An inverse relationship between the distance and the travel times from A to B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B192%29%2Fx%29 ALIGN=MIDDLE  ALT=\"%28x%2B192%29%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F8 ALIGN=MIDDLE  ALT=\"12%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "12x = 8(x+192)<BR>\n" );
document.write( "12x = 8x + 1536<BR>\n" );
document.write( "12x - 8x = 1536<BR>\n" );
document.write( "4x = 1536<BR>\n" );
document.write( "x = 1536/4<BR>\n" );
document.write( "x = 1536/4<BR>\n" );
document.write( "x = 384 km from B to the meeting point<BR>\n" );
document.write( "then<BR>\n" );
document.write( "192+384 = 576 km from A to the meeting point<BR>\n" );
document.write( "and<BR>\n" );
document.write( "384 + 576 = 960 km from A to B<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check; find the actual speed of each<BR>\n" );
document.write( "960/8 = 120 km/hr, the fast train<BR>\n" );
document.write( "960/12 = 80 km/hr, the slow<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the times to the meeting point, should be equal<BR>\n" );
document.write( "576/120 = 4.8 hrs<BR>\n" );
document.write( "384/80 = 4.8 hrs </SPAN>\n" );
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