document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627308>Question 627308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A painter hires help for a job, if the painter works 4 times as fast as his assistant , how many hours will it take the both working together to paint a house that would of taken the Painter 20 hours to complete 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 #394972 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=394972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A painter hires help for a job, if the painter works 4 times as fast as his assistant , how many hours will it take the both working together to paint a house that would of taken the Painter 20 hours to complete by himself?<BR>\n" );
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document.write( "The painter's work rate is 1 house per 20 hours = 1/20 house/hr<BR>\n" );
document.write( "His assistant works at a rate of 1/4(1/20) = 1/80 house/hr<BR>\n" );
document.write( "Working together, their combined rate is<BR>\n" );
document.write( "1/20 + 1/80 = 4/80 + 1/80 = 5/80 house/hr<BR>\n" );
document.write( "Taking the reciprocal gives 80/5 = 16 hr/house<BR>\n" );
document.write( "So it takes 16 hrs working together </SPAN>\n" );
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