document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805262>Question 805262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Person A can paint the neighbors house 2 times as fast as person B. The year A and B worked together, it took them 6 days. how long would it take each to paint the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485148 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=485148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Person A can paint the neighbors house 2 times as fast as person B.<BR>\n" );
document.write( " The year A and B worked together, it took them 6 days. how long would it take each to paint the house?<BR>\n" );
document.write( "Let a = A's time to paint the house<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2a = B's time to do it<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1; (a painted house):<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions add up to one.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fa ALIGN=MIDDLE  ALT=\"6%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%282a%29 ALIGN=MIDDLE  ALT=\"6%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2a, cancel the denominators<BR>\n" );
document.write( "2(6) + 6 = 2a<BR>\n" );
document.write( "18 = 2a<BR>\n" );
document.write( "a = 9 days for A working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(9) = 18 days for B to do it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );