document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735506>Question 735506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twenty men can finish the job in 30 days. Twenty five men were hired at the start and 10 quit after 20 days. How many days will it take to finish the job? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449443 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</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=449443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to determine the rate of work of 1 man.  The rate should be in Jobs per Day or as Jobs per Number of Days.  \r<BR>\n" );
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document.write( "If  20 men do the job in 30 days,<BR>\n" );
document.write( "Then 1 man needs 20 times longer to do the job if working alone,<BR>\n" );
document.write( "Which means 1 man does the job in 30*20 days,<BR>\n" );
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document.write( "One man works at the rate of 1 job per 600 days.\r<BR>\n" );
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document.write( "We can use (rate)*(time)=(jobs), and the idea that men working together will ADD their rates through simple addition.  Remember, now we know one man works at the rate of 1 job per 600 days.\r<BR>\n" );
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document.write( "Twenty-five men worked for 20 days.  How much job was done?<BR>\n" );
document.write( "The rate of 25 men would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A%281%2F600%29 ALIGN=MIDDLE  ALT=\"25%2A%281%2F600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the amount of work done in this time was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A%281%2F600%29%2A20 ALIGN=MIDDLE  ALT=\"25%2A%281%2F600%29%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" > job.\r<BR>\n" );
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document.write( "After 20 days, 10 men quit and the other 15 men stayed; so now, there be just 15 men to finish the job.  The question is, how much time for these remaining 15 men to finish?\r<BR>\n" );
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document.write( "How much job must these 15 men do?  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-25%2A%281%2F600%29%2A20 ALIGN=MIDDLE  ALT=\"1-25%2A%281%2F600%29%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" > job must these 15 men do.  What is the work rate of these 15 men together?  Their rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A%281%2F600%29 ALIGN=MIDDLE  ALT=\"15%2A%281%2F600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per day.\r<BR>\n" );
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document.write( "The time is calculable in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2At=j ALIGN=MIDDLE  ALT=\"r%2At=j\"   DISABLED_style= \"max-width:90%; height:auto;\" >, from which divide b.s. by r, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=j%2Fr ALIGN=MIDDLE  ALT=\"t=j%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That would be for finding number of days to finish.  Plug in all the numbers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%281-25%2A%281%2F600%29%2A20%29%2F%2815%2A%281%2F600%29%29 ALIGN=MIDDLE  ALT=\"t=%281-25%2A%281%2F600%29%2A20%29%2F%2815%2A%281%2F600%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > days, and be sure to simplify before doing the final computing. \r<BR>\n" );
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document.write( "(Looks like about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%262%2F3 ALIGN=MIDDLE  ALT=\"6%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > days). </SPAN>\n" );
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