document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774934>Question 774934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter can paint a kitchen in 4 hours. An apprentice can paint the same kitchen in 12 hours. If they worked together, how long would it take them to paint the kitchen?<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 #472543 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=472543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes them working together to paint the kitchen<BR>\n" );
document.write( "Then together, they paint at the rate of 1/x kitchen per hour<BR>\n" );
document.write( "Painter works at the rate of 1/4 kitchen per hour<BR>\n" );
document.write( "Apprentice works at the rate of 1/12 kitchen per hour<BR>\n" );
document.write( "Sooooo<BR>\n" );
document.write( "1/4+1/12=1/x  multiply each term by 12x<BR>\n" );
document.write( "3x+x=12<BR>\n" );
document.write( "4x=12<BR>\n" );
document.write( "x=3 hrs---time it takes both working together to pain the kitchen\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "In 3 hours the Painter paints (1/4)*3=3/4 of the kitchen<BR>\n" );
document.write( "In 3 hours the Apprentice paints (1/12)*3=3/12=1/4 of the kitchen<BR>\n" );
document.write( "1/4+3/4=the kitchen:)<BR>\n" );
document.write( "Hope this helps----ptaylor </SPAN>\n" );
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