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 #565184 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = time eric alone takes to paint<BR>\n" );
document.write( "y = time ryan alone takes to paint = 6 hours<BR>\n" );
document.write( "z = time eric and ryan together take to paint = (2/3)x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "r = w/t<BR>\n" );
document.write( "rates are additive:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "eric rate = 1/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "ryan rate = 1/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "together rate:<BR>\n" );
document.write( "1/x + 1/6 = 1/z<BR>\n" );
document.write( "1/x + 1/6 = 1/(2/3)x<BR>\n" );
document.write( "1/x - 1/(2/3)x = -1/6<BR>\n" );
document.write( "(2/3)/(2/3)x - 1/(2/3)x = -1/6<BR>\n" );
document.write( "(2/3) - 1 = (-1/6)*(2/3)x<BR>\n" );
document.write( "(2/3) - (3/3) = (-1/6)*(2/3)x<BR>\n" );
document.write( "-(1/3) = (-1/6)*(2/3)x<BR>\n" );
document.write( "x = -(1/3)/( (-1/6)*(2/3) )<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = time eric alone takes to paint = 3 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );