Question 270835
Let bailey's rate of painting = {{{1/d}}}
which is 1 house in {{{d}}} days
Then Andrew's rate would be
{{{6/d}}}, 6 houses in{{{d}}} days
To find their rate working together, add 
their rates working alone
{{{1/d + 6/d = 1/7}}}
Multiply both sides by {{{7d}}}
{{{7 + 42 = d}}}
{{{d = 49}}}
Bailey could paint the house in 49 days
Andrew could paint the house in 
{{{(1/6)*49 = 8.167}}} days