document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205672>Question 1205672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8 builders can build a house in 40 days, how long will it take for 2 builders to build a house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842629 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p * r * t = q<BR>\n" );
document.write( "p = number of people working on the project<BR>\n" );
document.write( "r = the average rate that each person works at<BR>\n" );
document.write( "t is the time<BR>\n" );
document.write( "q is the quantity.\r<BR>\n" );
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document.write( "in this problem, .....<BR>\n" );
document.write( "p = 8<BR>\n" );
document.write( "r = what you want to find.<BR>\n" );
document.write( "t is 40 days<BR>\n" );
document.write( "q is 1 house\r<BR>\n" );
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document.write( "formula becomes 8 * r * 40 = 1<BR>\n" );
document.write( "simplify to get 320 * r = 1<BR>\n" );
document.write( "solve for r to get r = 1/320\r<BR>\n" );
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document.write( "when 2 workers are working, the formula becomes 2 * r * t = 1<BR>\n" );
document.write( "when r = 1/320, the formula becomes 2 * 1/320 * t = 1<BR>\n" );
document.write( "simplify to get 2/320 * t = 1<BR>\n" );
document.write( "solve for t to get t = 320/2 * 1 = 160 days.\r<BR>\n" );
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document.write( "it takes 8 workers 40 days to finish the house.<BR>\n" );
document.write( "it takes 2 workers 160 days to finish the house.\r<BR>\n" );
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document.write( "each worker finishes an average of 1/320 of the house in 1 day.\r<BR>\n" );
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document.write( "you can also work this as an inverse variation type problem, if you know that is the relationship necessary to solve a problem such as this.\r<BR>\n" );
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document.write( "it's an inverse variation type problem because there is an inverse relationship between the people working on the house and the time it takes to complete the house.<BR>\n" );
document.write( "the more workers working on the house, the less time it takes to complete the house.\r<BR>\n" );
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document.write( "if you solve it that way, then the basic formula is y = k / x.<BR>\n" );
document.write( "y is 40 and x is 8, so the formula becomes 40 = k / x<BR>\n" );
document.write( "k is the constant of variation.<BR>\n" );
document.write( "solve for k to get k = 320.\r<BR>\n" );
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document.write( "when x = 2, the formula becomes y = 320 / 2 = 160.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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