document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729260>Question 729260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, 4 skilled workers can complete a job in 5 days. However, 5 semi-skilled workers can complete the same job in 6 days. If 1 semi-skilled and 2 skilled workers work together, how long does it take for them to complete the same job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446179 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Working together, 4 skilled workers can complete a job in 5 days.<BR>\n" );
document.write( "therefore: 4 * 5 = 20 man-days for skilled men complete the job<BR>\n" );
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document.write( " However, 5 semi-skilled workers can complete the same job in 6 days.<BR>\n" );
document.write( "therefore: 5 * 6 = 30 man-days for semi-skilled men to complete the job<BR>\n" );
document.write( ":<BR>\n" );
document.write( " If 1 semi-skilled and 2 skilled workers work together, how long does it take for them to complete the same job?<BR>\n" );
document.write( "Let d = number of days for them to complete the job.<BR>\n" );
document.write( "Let the completed job = 1, <BR>\n" );
document.write( "Each group will do a fraction of the job, the two fractions add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F20 ALIGN=MIDDLE  ALT=\"%282d%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281d%29%2F30 ALIGN=MIDDLE  ALT=\"%281d%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 60, resulting in:<BR>\n" );
document.write( "3(2d) + 2(1d) = 60<BR>\n" );
document.write( "6d + 2d = 60<BR>\n" );
document.write( "8d = 60<BR>\n" );
document.write( "d = 60/8<BR>\n" );
document.write( "d = 7.5 days for them to complete the job together<BR>\n" );
document.write( " </SPAN>\n" );
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