document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930639>Question 930639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eric and Ryan have been hired to paint the houses in a new development. Working together the men can paint the house in two-thirds the time that it takes eric working alone. Ryan takes six hours to paint a house alone. How long does it take eric to paint a house 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 #565183 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Eric and Ryan have been hired to pain the houses in a new development. Working together the men can paint the house in two-thirds the time that it takes eric working alone. Ryan takes six hours to paint a house alone. How long does it take eric to paint a house working alone? <BR>\n" );
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document.write( "It takes Eric E hours, take Ryan R hours (each working alone)<BR>\n" );
document.write( "Eric does 1/E per hour, Ryan does 1/R per hour.<BR>\n" );
document.write( "R = 6 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( " They do (1/E + 1/6) = (E + 6)/6E job/hour together<BR>\n" );
document.write( "--> 6E/(E + 6) hours/job together<BR>\n" );
document.write( "6E/(E + 6) = (2/3)E<BR>\n" );
document.write( "6/(E + 6) = (2/3)<BR>\n" );
document.write( "2(E + 6) = 18<BR>\n" );
document.write( "E = 3 hours </SPAN>\n" );
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