document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948439>Question 948439</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A vineyard’s grapes can be harvested by 10 workers in 5 hours. If one worker starts the <BR>\n" );
document.write( "harvest at noon, and another worker joins the harvest each hour on the hour, at what time <BR>\n" );
document.write( "will the harvest be completed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578913 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=578913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r, rate for one worker.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10r%2A5=1 ALIGN=MIDDLE  ALT=\"10r%2A5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the one job of THE VINEYARDS GRAPES.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1%2F50 ALIGN=MIDDLE  ALT=\"r=1%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "First hour, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ar%2A1=%281%2F50%29 ALIGN=MIDDLE  ALT=\"1%2Ar%2A1=%281%2F50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a small amount of the job done.\r<BR>\n" );
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document.write( "Hour Number Two, two workers, when completed time:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F50%29%2A1%2B%282%2F50%29%2A1 ALIGN=MIDDLE  ALT=\"%281%2F50%29%2A1%2B%282%2F50%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hour Number Three, three workers, when completed time:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F50%2B2%2F50%2B%283%2F50%29%2A1 ALIGN=MIDDLE  ALT=\"1%2F50%2B2%2F50%2B%283%2F50%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "UNKNOWN number of hours completed, for finishing harvesting the vineyard's grapes:<BR>\n" );
document.write( "(1/50)(1+2+3+...n)=1\r<BR>\n" );
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document.write( "1+2+3+...n=50\r<BR>\n" );
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document.write( "OR in renderable notational form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28x%2Ci=1%2Cn%29=50 ALIGN=MIDDLE  ALT=\"sum%28x%2Ci=1%2Cn%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2F2%29%281%2Bn%29=50 ALIGN=MIDDLE  ALT=\"%28n%2F2%29%281%2Bn%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%281%2Bn%29=100 ALIGN=MIDDLE  ALT=\"n%281%2Bn%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2Bn-100=0 ALIGN=MIDDLE  ALT=\"n%5E2%2Bn-100=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%28-1%2B-+sqrt%281%2B4%2A100%29%29%2F2 ALIGN=MIDDLE  ALT=\"n=%28-1%2B-+sqrt%281%2B4%2A100%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=%28-1%2Bsqrt%28501%29%29%2F2 ALIGN=MIDDLE  ALT=\"n=%28-1%2Bsqrt%28501%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "n=10.69, more than ten hours but less than eleven hours.<BR>\n" );
document.write( "The actual time from start to finish would be 10 hours 41 minutes. </SPAN>\n" );
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