document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557107>Question 557107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days or by 5 of the boys in 6 days. How long will it take if all work together? Thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362456 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=362456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days or by 5 of the boys in 6 days. How long will it take if all work together? <BR>\n" );
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document.write( "Men rates: 3/4 job per day for 3 men = 1/4 job per day for each man<BR>\n" );
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document.write( "Boy rates: 5/6 job per day for 5 men = 1/6 job per day for each boy<BR>\n" );
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document.write( "Together rate = 1/x job/day<BR>\n" );
document.write( "Rate + rate = together rate for 1 man and 1 boy:<BR>\n" );
document.write( "(3/4) + (5/6) = 1/x<BR>\n" );
document.write( "18x + 20x = 24<BR>\n" );
document.write( "38x = 24<BR>\n" );
document.write( "x = 12/19 days/job (time to do the job together)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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