document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581976>Question 581976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sid can paint a house by himself in 10 hours and Sid and Bill can paint a house together in 4 hours. How long does it take Bill to paint a house by himself?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371922 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=371922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes Bill to paint the house by himself<BR>\n" );
document.write( "Then Bill paints at the rate of 1/x house per hour<BR>\n" );
document.write( "Sid paints at the rate of 1/10 house per hour<BR>\n" );
document.write( "Sid and Bill together paints at the rate of 1/4 house per hour<BR>\n" );
document.write( "soooooo:<BR>\n" );
document.write( "1/10+1/x=1/4  multiply each term by 40x<BR>\n" );
document.write( "4x+40=10x<BR>\n" );
document.write( "6x=40<BR>\n" );
document.write( "x=6 two thirds hours-------time it takes Bill to paint the house by himself\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "1/10+1/(20/3)=1/4<BR>\n" );
document.write( "1/10+3/20=1/4<BR>\n" );
document.write( "2/20+3/20=1/4<BR>\n" );
document.write( "5/20=1/4<BR>\n" );
document.write( "1/4=1/4<BR>\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );