document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204384>Question 1204384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travels to Chicago, empty, at 70 mph. It returns loaded at 60 mph. If total travel time is 6 hours and 30 minutes, how far from Chicago is the starting point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840601 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a method for solving problems like this that is very different from the standard algebraic method shown by the other tutor.<br><BR>\n" );
document.write( "This method solves the problem by using the ratio of the two speeds.<br><BR>\n" );
document.write( "The ratio of speeds is 70:60 = 7:6.  Since the distance both directions is the same, the ratio of times at the two speeds is 6:7.<br><BR>\n" );
document.write( "Dividing the total time of 6.5 hours into two parts in the ratio 6:7 gives us 3 hours and 3.5 hours.  This shows that the train traveled for 3 hours at 70 mph and 3.5 hours at 60 mph.<br><BR>\n" );
document.write( "So the distance from the starting point to Chicago is 3*70 = 210 miles, or 3.5*60 = 210 miles.<br><BR>\n" );
document.write( "ANSWER: 210 miles<br><BR>\n" );
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