document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919980>Question 919980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If , It took 8 mens 10 hours to build a wall how long will it take for a single man to do it ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558076 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=558076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula to use in this type of problem is:\r<BR>\n" );
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document.write( "r*p*t = q\r<BR>\n" );
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document.write( "r is the rate of work per person.<BR>\n" );
document.write( "p is the number of people.<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 men<BR>\n" );
document.write( "t = 10 hours<BR>\n" );
document.write( "q = 1 wall\r<BR>\n" );
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document.write( "replace p and t and q in the equation and you get:\r<BR>\n" );
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document.write( "r*p*t = q becomes:\r<BR>\n" );
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document.write( "r*8*10 = 1\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "r*80 = 1\r<BR>\n" );
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document.write( "divide both sides of the equation by 80 to get:\r<BR>\n" );
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document.write( "r = 1/80\r<BR>\n" );
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document.write( "1 man can build 1/80 of the wall in 1 hour.\r<BR>\n" );
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document.write( "confirm by replacing r with 1/80 in the original problem to get:\r<BR>\n" );
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document.write( "1/80 * 8 * 10 = 1\r<BR>\n" );
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document.write( "simplify to get 80/80 = 1 which then becomes 1 = 1.\r<BR>\n" );
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document.write( "this confirms the rate per person is correct.\r<BR>\n" );
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document.write( "now you want to know how long it will take one man to build the wall.\r<BR>\n" );
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document.write( "r*p*t=q becomes:\r<BR>\n" );
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document.write( "r = 1/80<BR>\n" );
document.write( "p = 1<BR>\n" );
document.write( "t = what you want to find.<BR>\n" );
document.write( "q = 1\r<BR>\n" );
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document.write( "equation becomes:\r<BR>\n" );
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document.write( "1/80 * 1 * t = 1\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "1/80 * t = 1\r<BR>\n" );
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document.write( "multiply both sides of this equation by 80 to get:\r<BR>\n" );
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document.write( "t = 80\r<BR>\n" );
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document.write( "it will take one man 80 hours to build the wall by himself assuming he works at the same rate of 1/80 of the wall per hour.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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