document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140075>Question 140075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three man can finish a painting job in 8 days. This job can be finished by 5 women in 6 days and by 8 boys in 10 days. how long will it take 1 man 2 women and 3 boys working together?\r<BR>\n" );
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document.write( "Thanks! I will make a donation to you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102083 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=102083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> three man can finish a painting job in 8 days. This job can be finished by 5 women in 6 days and by 8 boys in 10 days. how long will it take 1 man 2 women and 3 boys working together?<BR>\n" );
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document.write( "Approach this using; man-days, girl-days, boy-days:<BR>\n" );
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document.write( "The job requires:<BR>\n" );
document.write( "3 * 8 = 24 man-days<BR>\n" );
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document.write( "5 * 6 = 30 girl-days<BR>\n" );
document.write( "or<BR>\n" );
document.write( "8 * 10 = 80 boy-days<BR>\n" );
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document.write( "Let t = required time for 1 man 2 girls and 3 boys to complete the job<BR>\n" );
document.write( "Let the  completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1t%2F24 ALIGN=MIDDLE  ALT=\"1t%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2F30 ALIGN=MIDDLE  ALT=\"2t%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3t%2F80 ALIGN=MIDDLE  ALT=\"3t%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 240 to get rid of the denominator:<BR>\n" );
document.write( "10(1t) + 8(2t) + 3(3t)  = 240<BR>\n" );
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document.write( "10t + 16t + 9t = 240<BR>\n" );
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document.write( "35t = 240<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F35 ALIGN=MIDDLE  ALT=\"240%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 6.857 days (6 days 20 hrs 34 min) for 1 man, 2 girls, and 3 boys to do the job<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "6.857/24  +  2(6.857)/30  +  3(6.857)/80<BR>\n" );
document.write( "6.857/24  +  13.714/30  + 20.571/80<BR>\n" );
document.write( ".286  +  .457  +  .257 = 1;  </SPAN>\n" );
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