document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226385>Question 226385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A commercial building was built in 1 - 7/8 months by 20 skilled workers and 30 unskilled laborers. If 30 skilled men were contracted the group alone would have erected the facility in 2 months time, How long should it take one unskilled worker alone to complete the job?<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 #168705 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=168705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A commercial building was built in 1 - 7/8 months by 20 skilled workers and 30 unskilled laborers. <BR>\n" );
document.write( "If 30 skilled men were contracted the group alone would have erected the facility in 2 months time, <BR>\n" );
document.write( "How long should it take one unskilled worker alone to complete the job?<BR>\n" );
document.write( "Find the time required by one skilled worker<BR>\n" );
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document.write( "It says, \"Two months with 30 skilled workers only\"<BR>\n" );
document.write( "that's 60 man/months (skilled) to complete the job<BR>\n" );
document.write( "Therefore one man requires 60 months to do the job<BR>\n" );
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document.write( "Then 20 skilled men: 60/20 = 3 months to do the same job<BR>\n" );
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document.write( "Change 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8 ALIGN=MIDDLE  ALT=\"7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to 1.875 months\r<BR>\n" );
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document.write( "Let u = the time required by 30 unskilled workers<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Skilled + unskilled = completed job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.875%2F3 ALIGN=MIDDLE  ALT=\"1.875%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.875%2Fu ALIGN=MIDDLE  ALT=\"1.875%2Fu\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 3u<BR>\n" );
document.write( "1.875u + 3(1.875) = 3u<BR>\n" );
document.write( "5.625 = 3u - 1.875u<BR>\n" );
document.write( "5.625 = 1.125u<BR>\n" );
document.write( "u = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.625%2F1.125 ALIGN=MIDDLE  ALT=\"5.625%2F1.125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "u = 5 months using 30 unskilled men<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "5*30 = 150 man/months (unskilled) to do the job<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "150 months for one unskilled man to do the job<BR>\n" );
document.write( "and<BR>\n" );
document.write( "60 months for one skilled man to do it<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.875%2F3 ALIGN=MIDDLE  ALT=\"1.875%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.875%2F5 ALIGN=MIDDLE  ALT=\"1.875%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".625 + .375 = 1 </SPAN>\n" );
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