document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146772>Question 146772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This Is a work problem. Please help me solve.\r<BR>\n" );
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document.write( "If a painter can paint a house in 12 days and another painter can paint<BR>\n" );
document.write( "the same house in 8 days, how long will it take the painters together paint the<BR>\n" );
document.write( "house?\r<BR>\n" );
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document.write( "       Please show steps.<BR>\n" );
document.write( "       thanks, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107179 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First painter's rate: 1 house per 12 hours or 1/12<BR>\n" );
document.write( "Second painter's rate: 1 house per 8 hours or 1/8<BR>\n" );
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document.write( "Let x = combined time it would take BOTH to paint a single house<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(1/12)x + (1/8)x = 1<BR>\n" );
document.write( "multiplying both sides by a \"common denominator\" (96) we get:<BR>\n" );
document.write( "96[(1/12)x + (1/8)x] = 96*1<BR>\n" );
document.write( "8x + 12x = 96<BR>\n" );
document.write( "20x = 96<BR>\n" );
document.write( "x = 96/20<BR>\n" );
document.write( "x = 4.8 hours<BR>\n" );
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document.write( "or (since there are 60 minutes per hour)<BR>\n" );
document.write( "x = 4 hrs (.8*60) mins<BR>\n" );
document.write( "x = 4 hrs 48 mins<BR>\n" );
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