document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298487>Question 298487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214697 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=214697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y?<BR>\n" );
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document.write( "To-trip DATA:<BR>\n" );
document.write( "distance = d miles ; rate = 60 mph ; time = d/60 hrs<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "From-trip DATA:<BR>\n" );
document.write( "distance = d miles ; rate = 50 mph ; time = d/50 hrs<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Round-trip DATA:<BR>\n" );
document.write( "distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Roundtrip time - other time = -1/2 hr<BR>\n" );
document.write( "(2d)/55 - [(d/60)+(d/50)] = -1/2<BR>\n" );
document.write( "(2d)/55 - [(110d)/(50*60)] = -1/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "600(2d) - 11[110d] = -16500<BR>\n" );
document.write( "1200d - 1210d = -16500<BR>\n" );
document.write( "-10d = -16500<BR>\n" );
document.write( "distance = 1650 miles<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" );