document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209176>Question 1209176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels from A to B at 4 km/h and from B to A at 6 km/h. The total journey takes 45 minutes. Find the distance travelled. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847772 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=847772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutor shows a few methods for solving the problem which are all variations of the standard algebraic method.<br><BR>\n" );
document.write( "Here is a non-standard and very different method which I personally prefer for solving this particular kind of problem.<br><BR>\n" );
document.write( "The distances both directions are the same; the ratio of the speeds in the two directions is 4:6 = 2:3.  That means that the ratio of times at the two speeds is 3:2.<br><BR>\n" );
document.write( "The ratio of the time spent at 4 km/h to the time spent at 6 km/h is 3:2, and the total time is 45 minutes.  Use mental arithmetic or any formal process you want to find that he spent 27 minutes at 4 km/h and 18 minutes at 6 km/h.<br><BR>\n" );
document.write( "The number of kilometers traveled at 4 km/h for 27 minutes or 9/20 hours is 4*9/20 = 36/20 = 1.8.<br><BR>\n" );
document.write( "So the distance traveled from A to B and back is 2*1.8 = 3.6 km.<br><BR>\n" );
document.write( "ANSWER: 3.6 km (total distance traveled)<br><BR>\n" );
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document.write( "For tutor @math_tutor2020....<br><BR>\n" );
document.write( "Your calculations all show that 1.8km is the ONE WAY distance, not the total distance traveled....<br><BR>\n" );
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