document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190530>Question 1190530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two companies working together can clear a parcel of land in 26 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822212 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=822212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = time it takes for Company B to get the job done alone<BR>\n" );
document.write( "x+2 = time it takes for Company A to get the job done alone<BR>\n" );
document.write( "Time values are in hours\r<BR>\n" );
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document.write( "It takes x hours for company B to do the job alone<BR>\n" );
document.write( "The unit rate is 1/x jobs per hour<BR>\n" );
document.write( "The unit rate for company A is 1/(x+2) for similar reasoning.\r<BR>\n" );
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document.write( "Add up the two unit rates<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%28x%2B2%29%29+%2B+x%2F%28x%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%28x%2B2%29%29+%2B+x%2F%28x%28x%2B2%29%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=%282x%2B2%29%2F%28x%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%282x%2B2%29%2F%28x%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the combined unit rate of the two companies.\r<BR>\n" );
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document.write( "Now I'll use this idea<BR>\n" );
document.write( "(work rate)*(time) = amount done\r<BR>\n" );
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document.write( "The idea is that we multiply the combined unit rate we found by the 26 hours it takes for both companies to work together. <BR>\n" );
document.write( "This should result in 1 to represent 1 full job completed.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%2B2%29%2F%28x%28x%2B2%29%29%29%2A26+=+1 ALIGN=MIDDLE  ALT=\"%28%282x%2B2%29%2F%28x%28x%2B2%29%29%29%2A26+=+1\"   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=%2826%282x%2B2%29%29%2F%28x%28x%2B2%29%29+=+1 ALIGN=MIDDLE  ALT=\"%2826%282x%2B2%29%29%2F%28x%28x%2B2%29%29+=+1\"   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=%2852x%2B52%29%2F%28x%5E2%2B2x%29+=+1 ALIGN=MIDDLE  ALT=\"%2852x%2B52%29%2F%28x%5E2%2B2x%29+=+1\"   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=52x%2B52+=+x%5E2%2B2x ALIGN=MIDDLE  ALT=\"52x%2B52+=+x%5E2%2B2x\"   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=0+=+x%5E2%2B2x-52x-52 ALIGN=MIDDLE  ALT=\"0+=+x%5E2%2B2x-52x-52\"   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=x%5E2-50x-52+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-50x-52+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then we use the quadratic formula<BR>\n" );
document.write( "Use a = 1, b = -50, c = -52<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%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=x+=+%28-%28-50%29%2B-sqrt%28%28-50%29%5E2-4%281%29%28-52%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-50%29%2B-sqrt%28%28-50%29%5E2-4%281%29%28-52%29%29%29%2F%282%281%29%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=x+=+%2850%2B-sqrt%282708%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%2850%2B-sqrt%282708%29%29%2F%282%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=x+=+51.019 ALIGN=MIDDLE  ALT=\"x+=+51.019\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.019 ALIGN=MIDDLE  ALT=\"x+=+-1.019\"   DISABLED_style= \"max-width:90%; height:auto;\" > both are approximate\r<BR>\n" );
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document.write( "Ignore the negative x value, since negative time values aren't allowed.\r<BR>\n" );
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document.write( "Answer: Approximately 51.0 hours\r<BR>\n" );
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