+52 Andrew can paint the neighborhood's house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 4 days. How long would it take each to paint the house?
It would take Andrew___ days
It would take Bailey___days
Thank You
+129899
Call the portion of the house that Bailey can paint in one day = 1 / x
Call the portion of the house that Andrew can paint in one day = 5* (1 / x) =
5 / x
And we know that
Rate per day * number of days = 1 whole job .....so, working together, we have
(1/x) *4 + (5/x) * 4 = 1
4/x + 20/x = 1
(24) / x = 1 → x = 24
So.....Bailey can paint (1/24) of the house in one day = 24 days to paint the whole house by himself
And Andrew can paint (5/24) of the house in one day = 24/5 = 4.8 days to paint the house by himself
