Andrewandrew can paint the neighbor's house 4 times as fast as bailey. the year andrewandrew and baileybailey worked together, it took them 9 days. how long would it take each to paint the house?

Andrew can do 4 times faster
So 1 Andrew is equal to 4 Bailey
1 Andrew and 1 Bailey =  5 Bailey

5 Bailey takes 9 days
1 Bailey take 9 x 5 days = 45 days

Bailey takes 45 days
Andrew can do it 4 times faster
so Andrew needs 45/4 days 
Andrew needs 11.25 days

Andrew will take 11.25 days to paint the house.
Bailey will take 45 days to paint the house.