<PRE><B>Question 1121498</B>
Painter rate,  {{{1/6}}}


Painter plus helper, rate {{{1/6+1/10}}}




ONE job to be done.
Painter, for 2 hours.
Painter with helper, for x hours.


{{{(1/6)*2+(1/6+1/10)*x=1}}}------simplify and solve.


-


{{{1/3+x/6+x/10=1}}}, note that LCD is 30.

{{{30(1/3+x/6+x/10)=30*1}}}

{{{10+5x+3x=30}}}

{{{8x=20}}}

{{{x=20/8}}}

{{{x=5/2}}}

{{{highlight(x=2.5)}}}
Two and a half hours</PRE>