Question 1068941
The problem description and question not very well written, but this follows rule  R*T=W to relate rate R, time T, amount of jobs or work W.


Amount of time for the job done, 1 day;
amount of jobs done, 1, for "one house to be painted".


If time for B alone to do the job is x, then rate is {{{1/x}}}.
Rate for A is {{{6/x}}}.


{{{highlight_green((6/x+1/x)*1=1)}}}.
Solve for x, amount of time for B to do the job alone.



B can paint the house in 7 days.
(x=7)