document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110491>Question 110491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nancy can paint a house twice as fast as Terry can. They year they worked together it took them 7 days. How long would it take each to paint the house alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80518 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes Nancy to paint a house<BR>\n" );
document.write( "Then 2x= amount of time it takes Terry to paint a house\r<BR>\n" );
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document.write( "Now Nancy can paint at the rate of 1/x houses per day<BR>\n" );
document.write( "Terry can paint at the rate of 1/2x houses per day\r<BR>\n" );
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document.write( "Together they can paint at the rate of 1/7 house per day.  So our equation to solve is:\r<BR>\n" );
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document.write( "(1/x)+(1/2x)=1/7   multiply each term by 14x\r<BR>\n" );
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document.write( "14+7=2x collect like terms<BR>\n" );
document.write( "21=2x  divide both sides by 2\r<BR>\n" );
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document.write( "x=10.5 days-------Amount of time it takes Nancy to paint a house\r<BR>\n" );
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document.write( "2x=2*10.5=21 days----Amount of time it takes Terry to paint a house \r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "(1/10.5)+1/21=1/7  multiply each term by 21\r<BR>\n" );
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document.write( "2+1=3<BR>\n" );
document.write( "3=3\r<BR>\n" );
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document.write( "Also\r<BR>\n" );
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document.write( "10.5*2=21<BR>\n" );
document.write( "21=21\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor </SPAN>\n" );
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