document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350961>Question 350961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train traveled 80 miles from city A to city B and returned the same distance in a total time of 6 hours. If the train traveled 20 mph slower on the return trip, how fast did the train travel in each direction? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250858 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=250858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train traveled 80 miles from city A to city B and returned the same distance in a total time of 6 hours. If the train traveled 20 mph slower on the return trip, how fast did the train travel in each direction?<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "A to B DATA:<BR>\n" );
document.write( "distance = 80 miles ; rate = x mph ; time = 80/x hrs<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "B to A DATA:<BR>\n" );
document.write( "distance = 80 miles ; rate = x-20 mph ; time = 80/(x-20) hrs<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 6 hrs<BR>\n" );
document.write( "80/x + 80/(x-20) = 6<BR>\n" );
document.write( "160x - 1600 = 6x(x-20)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "160x - 1600 = 6x^2 - 120x<BR>\n" );
document.write( "6x^2 -280x + 1600 = 0<BR>\n" );
document.write( "3x^2 - 140x + 800 = 0<BR>\n" );
document.write( "(3x-20)(x-40) = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Realistic Answer: <BR>\n" );
document.write( "x = 40 mph (rate from A to B)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x-20 = 20 mph (rate from B to A)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );