document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764891>Question 764891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 25 men working 8 hours a day plant trees on a forest plot in 63 days. Calculate the number of days 45 men working 7 hours a day would take to plant that same number of trees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465796 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=465796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find how many days the 25 men need if THEIR shift length is 7 hours per day instead of 8 hours per day.  Now the 25 men need more days, right?  How many days for this job?\r<BR>\n" );
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document.write( "25 men ---- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F8 ALIGN=MIDDLE  ALT=\"8%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63%2A8 ALIGN=MIDDLE  ALT=\"63%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" > days<BR>\n" );
document.write( "25 men ----<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F8%29%2A7 ALIGN=MIDDLE  ALT=\"%288%2F8%29%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2863%2A8%29%2F7 ALIGN=MIDDLE  ALT=\"%2863%2A8%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > days<BR>\n" );
document.write( "That is equivalent then to <BR>\n" );
document.write( "25 men ----7 hours per day for 72 days.\r<BR>\n" );
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document.write( "Next, focus on 1 man instead of 25 men, and look at \"days\" and not worry about hours (because the hours is now already taken care for ).\r<BR>\n" );
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document.write( "If 25 men do the assigned quantity of trees in 72 days, the <BR>\n" );
document.write( "ONE man does the trees in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2A25 ALIGN=MIDDLE  ALT=\"72%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" > days.<BR>\n" );
document.write( "This one-man rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F%2872%2A25%29%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F%2872%2A25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > job per day.\r<BR>\n" );
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document.write( "Last, the rates of the men working together are additive, so for 45 men, now understood to work in shifts per day of 7 hours, the number of days, using the variable d, to do this tree planting job is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2A%281%2F%2872%2A25%29%29%2Ad=1 ALIGN=MIDDLE  ALT=\"45%2A%281%2F%2872%2A25%29%29%2Ad=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Although you can simply focus on the group rate for these 45 men:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2A%281%2F%2872%2A25%29%29 ALIGN=MIDDLE  ALT=\"45%2A%281%2F%2872%2A25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > JOB per DAY, and since you want DAYS per JOB, just use the reciprocal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%2872%2A25%29%2F45%29 ALIGN=MIDDLE  ALT=\"highlight%28%2872%2A25%29%2F45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > DAYS per JOB at 7 hours per day. </SPAN>\n" );
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