document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199033>Question 199033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Mary and Carter can paint a house in 5 hours together and Mary can do the same job in 8 hours alone, how long would it take for Carter working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149507 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=149507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     If Mary and Carter can paint a house in 5 hours together and Mary can do the same job in 8 hours alone, how long would it take for Carter working alone?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = time it takes for Carter to work alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5(1/x + 1/8) = 1<BR>\n" );
document.write( "5/x + 5/8 = 1<BR>\n" );
document.write( "Multiplying both sides by 8x:<BR>\n" );
document.write( "40 + 5x = 8x<BR>\n" );
document.write( "40 = 3x<BR>\n" );
document.write( "40/3 = x<BR>\n" );
document.write( "13 1/3 hours = x<BR>\n" );
document.write( "or<BR>\n" );
document.write( "13 hours 20 minutes<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );