document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404563>Question 404563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  it takes one guy 5 hours to paint a house, another guy 3 hrs, and the last guy 2 hrs to paint the same house if they work together how long will it take them to paint the house.\r<BR>\n" );
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document.write( "2. It takes 3 hours for an open valve to fill a tank and 4.5 hours for a valve to empty the tank.  How long would it take to fill the tank if both valves are open. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285906 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=285906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the 1st one.  The 2nd uses the same method.<BR>\n" );
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document.write( "1. it takes one guy 5 hours to paint a house, another guy 3 hrs, and the last guy 2 hrs to paint the same house if they work together how long will it take them to paint the house.<BR>\n" );
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document.write( "1st guy DATA:<BR>\n" );
document.write( "time = 5 hrs/job ; rate = 1/5 job/hr<BR>\n" );
document.write( "2nd guy DATA:<BR>\n" );
document.write( "time = 3 hrs/job ; rate = 1/3 job/hr<BR>\n" );
document.write( "3rd guy DATA:<BR>\n" );
document.write( "time = 2 hrs/job ; rate = 1/2 job/hr<BR>\n" );
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document.write( "Together data:<BR>\n" );
document.write( "time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate + rate = together rate<BR>\n" );
document.write( "1/5 + 1/3 + 1/2 = 1/x<BR>\n" );
document.write( "Multiply thru by 30x to get:<BR>\n" );
document.write( "6x + 10x + 15x = 30<BR>\n" );
document.write( "31x = 30<BR>\n" );
document.write( "x = 30/31 hrs to do the job together.<BR>\n" );
document.write( "x = (30/31)(60 min) = 58.06 minutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "2. It takes 3 hours for an open valve to fill a tank and 4.5 hours for a valve to empty the tank. How long would it take to fill the tank if both valves are open.<BR>\n" );
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