document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=898136>Question 898136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a woman asked 10 boys to clean a 5 roomed house, they finished it in 30 minutes. How long will it take 15 boys to finish cleaning the house????\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544561 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=544561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate per person times number of people times time = quantity<BR>\n" );
document.write( "r*p*t = q\r<BR>\n" );
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document.write( "quantity is 1 clean house.<BR>\n" );
document.write( "t = 30 minutes<BR>\n" );
document.write( "p = 10<BR>\n" );
document.write( "you are solving for rate per person.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "r*10*30 = 1\r<BR>\n" );
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document.write( "divide both sides of the equation by 10*30 to get:\r<BR>\n" );
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document.write( "r = 1 / (10 * 30) = 1/300.\r<BR>\n" );
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document.write( "1 person can clean 1/300 of the house in 1 minute.\r<BR>\n" );
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document.write( "1/300 * 10 * 30 = 300 / 300 = 1 cleaned house, so the value of r is confirmed to be good.\r<BR>\n" );
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document.write( "r is the amount of the house tht 1 person can clean in one minute.\r<BR>\n" );
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document.write( "you have established that one person can clean 1/300 of the house in 1 minute.\r<BR>\n" );
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document.write( "now you want to know how long it would take 15 persons to clean the house.\r<BR>\n" );
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document.write( "the formula of r*p*t = q is used again, and becomes:\r<BR>\n" );
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document.write( "(1/300) * 15 * t = 1\r<BR>\n" );
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document.write( "now you want to solve for t.\r<BR>\n" );
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document.write( "you get t = (1 / 15) * 300 = 20 minutes.\r<BR>\n" );
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document.write( "10 boys can clean the house in 30 minutes.<BR>\n" );
document.write( "15 boys can clean the house in 20 minutes, working at the same rate for each boy.\r<BR>\n" );
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document.write( "1/300 * 10 * 30 = 1\r<BR>\n" );
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document.write( "1/300 * 15 * 20 = 1\r<BR>\n" );
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document.write( "solution is it will take 15 boys 20 minutes to clean the house.\r<BR>\n" );
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