document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626926>Question 626926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gardener A can mow an entire lawn in 1 hour less than gardener B .If they work together they can mow the lawn in 20/9 hours how many hours will it take gardener A to mow the lawn alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394507 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=394507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that A can mow the lawn in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.<BR>\n" );
document.write( "Then, B can mow the lawn in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B1 ALIGN=MIDDLE  ALT=\"t%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.\r<BR>\n" );
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document.write( "In 1 hour, A can mow <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft ALIGN=MIDDLE  ALT=\"1%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction of the lawn.<BR>\n" );
document.write( "In 1 hour, B can mow <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28t%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28t%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction of the lawn.\r<BR>\n" );
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document.write( "Therefore, in 1 hour, A and B can together mow <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ft+%2B+1%2F%28t%2B1%29=%282%2At%2B1%29%2F%28t%2A%28t%2B1%29%29 ALIGN=MIDDLE  ALT=\"1%2Ft+%2B+1%2F%28t%2B1%29=%282%2At%2B1%29%2F%28t%2A%28t%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction of the lawn.\r<BR>\n" );
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document.write( "Thus, A and B can together mow the entire lawn in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2A%28t%2B1%29%2F%282%2At%2B1%29 ALIGN=MIDDLE  ALT=\"t%2A%28t%2B1%29%2F%282%2At%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.\r<BR>\n" );
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document.write( "Given, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2A%28t%2B1%29%2F%282%2At%2B1%29=20%2F9 ALIGN=MIDDLE  ALT=\"t%2A%28t%2B1%29%2F%282%2At%2B1%29=20%2F9\"   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=9%2At%2A%28t%2B1%29=20%2A%282%2At%2B1%29 ALIGN=MIDDLE  ALT=\"9%2At%2A%28t%2B1%29=20%2A%282%2At%2B1%29\"   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=9%2At%5E2%2B9t=40%2At%2B20 ALIGN=MIDDLE  ALT=\"9%2At%5E2%2B9t=40%2At%2B20\"   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=9%2At%5E2-31%2At-20=0 ALIGN=MIDDLE  ALT=\"9%2At%5E2-31%2At-20=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=9%2At%5E2-36%2At%2B5%2At-20=0 ALIGN=MIDDLE  ALT=\"9%2At%5E2-36%2At%2B5%2At-20=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=9%2At%2A%28t-4%29%2B5%2A%28t-4%29=0 ALIGN=MIDDLE  ALT=\"9%2At%2A%28t-4%29%2B5%2A%28t-4%29=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=%28t-4%29%2A%289%2At%2B5%29=0 ALIGN=MIDDLE  ALT=\"%28t-4%29%2A%289%2At%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Product of two quantities is zero if at least one of them is zero.\r<BR>\n" );
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document.write( "Therefore, either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-4=0 ALIGN=MIDDLE  ALT=\"t-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2At%2B5=0 ALIGN=MIDDLE  ALT=\"9%2At%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since t is time and can't be negative so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-4=0 ALIGN=MIDDLE  ALT=\"t-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4 ALIGN=MIDDLE  ALT=\"t=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the solution.\r<BR>\n" );
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document.write( "Ans: Gardener A can mow the lawn alone in 4 hours. </SPAN>\n" );
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