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

yojaymarojas
May 14, 2017

#1**+1 **

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

CPhill
May 14, 2017