document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250438>Question 250438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 4 days. How long would it take the faster roofer working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182337 by </B><A HREF=/tutors/aboutme.mpl?userid=chosenpoint><B>chosenpoint(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chosenpoint><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=chosenpoint><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=182337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>Rate-of-work-word-problems/250438 (2009-12-15 21:54:41): one roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 4 days. How long would it take the faster roofer working alone?<br>\r<BR>\n" );
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document.write( "Let x be the fastest roofers time to roof the house<br>\r<BR>\n" );
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document.write( "Then the slower roofers time will be 3x<br>\r<BR>\n" );
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document.write( "Use the following formula to calculate how the work is done:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FA%2B1%2FB=1%2FC ALIGN=MIDDLE  ALT=\"1%2FA%2B1%2FB=1%2FC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where A & B are the times done by themselves, and C is the time it takes them to do the work together, thus we have:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2F3x=1%2F4 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2F3x=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3x%2B1%2F3x%2B1%2F4 ALIGN=MIDDLE  ALT=\"3%2F3x%2B1%2F3x%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3x=1%2F4 ALIGN=MIDDLE  ALT=\"4%2F3x=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=16 ALIGN=MIDDLE  ALT=\"3x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=16%2F3 ALIGN=MIDDLE  ALT=\"x=16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So the fast roofer can do it by himself in about 5.33 days!  Hope that helps!  :)<br> </SPAN>\n" );
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