document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201892>Question 1201892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Miguel the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Miguel trained his Monday clients for a total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836457 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=836457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Knowing how to set up and solve the problem using formal algebra is certainly a good skill to have.<br><BR>\n" );
document.write( "But you can get good mental exercise, and excellent problem-solving experience, by solving the problem informally, using logical reasoning and simple arithmetic.<br><BR>\n" );
document.write( "Suppose Miguel's business on Tuesday doubled, so that he had 4 clients on plan A and 6 on plan B, for a total of 8 hours.<br><BR>\n" );
document.write( "Then compare that to Monday's work, where there were 4 clients on plan A and 8 on plan B, for a total of 9 hours.<br><BR>\n" );
document.write( "Then the difference between the two days would be 2 more clients on plan B, with the same numbers on plan A for both days, with the time difference being 1 hour.<br><BR>\n" );
document.write( "So the time for the two additional clients on plan B is 1 hour, which means each workout on plan B last half an hour.<br><BR>\n" );
document.write( "Then use that with simple arithmetic with the workouts from either day to find that each workout on plan A lasts 1.25 hours.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );