let

a = the hours that Andrew needs to paint the house alone

b = the hours that Bailey needs to paint the house alone

Andrew can paint the neighbors house 5 times as fast as bailey

b = 5a

the year Andrew and Bailey worked togehter, it took them 4 days

1/a + 1/b = 1/4

plug b = 5a into the last equation

1/a + 1/(5a) = 1/4

by solving we find

a = 4.8 days

click here to see the step by step solution of the equation

b = 5*4.8

b = 24 days

Andrew will paint the house in 4.8 days alone.

Bailey will paint the house in 24 days alone.