document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734373>Question 734373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travelled from A to B and back in a certain time at rate of 60 km/hr. But if the train had travelled from A to B at the rate of  80 km/hr and back from B to A at the rate of 40 km/hr it would take 2 hours longer. find the distance between A to B.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448970 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=448970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train traveled from A to B and back in a certain time at rate of 60 km/hr.<BR>\n" );
document.write( " But if the train had traveled from A to B at the rate of 80 km/hr and back<BR>\n" );
document.write( " from B to A at the rate of 40 km/hr it would take 2 hours longer.<BR>\n" );
document.write( " find the distance between A to B.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let d = distance from A to B<BR>\n" );
document.write( "let t = time for round trip at 60 km/hr<BR>\n" );
document.write( "then<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F60 ALIGN=MIDDLE  ALT=\"%282d%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"But if the train had traveled from A to B at the rate of 80 km/hr and back from B to A at the rate of 40 km/hr it would take 2 hours longer. \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F80 ALIGN=MIDDLE  ALT=\"d%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F40 ALIGN=MIDDLE  ALT=\"d%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t + 2<BR>\n" );
document.write( "Replace t with 2d/60<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F80 ALIGN=MIDDLE  ALT=\"d%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F40 ALIGN=MIDDLE  ALT=\"d%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F60 ALIGN=MIDDLE  ALT=\"%282d%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2<BR>\n" );
document.write( "multiply by 240 to clear the denominators, resulting in:<BR>\n" );
document.write( "3d + 6d = 4(2d) + 240(2)<BR>\n" );
document.write( "9d = 8d + 480<BR>\n" );
document.write( "9d - 8d = 480<BR>\n" );
document.write( "d = 480 km from A to B<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution by finding the times<BR>\n" );
document.write( "960/60 = 16 hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "480/80 = 6 hrs<BR>\n" );
document.write( "480/40 = 12 hrs<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "total : 18 hr, 2 hrs more<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );