Answer:
So it will take them 1 day 6 hours and 39 minutes to paint one small house.
Step-by-step explanation:
Henry can paint 1 small house in 3 days so he can paint 1/3 or .3333 in a day
Ruby can paint 1 small house in 4 days so she can paint 1/4 or .25 in a day
Charlie can paint 1 small house in 5 days so he can paint 1/5 or .2 in a day
Together, that means they pain .3333 + .25 + .2 of a house per day. That's an daily rate of:
.3333 + .25 + .2 = .78333
The portion of the house they clean in x days is .78333x. We'd like to know how long it will take them to paint 100% or 1 of the house. So:
.78333x = 1 Divide each side by .78333
x = 1/.78333
x ≈ 1.277
Let's convert .277 to hours by multiplying by 24
.277 * 24 = 6.65
Let's convert .65 to minutes by multiplying by 60
.65 * 60 = 39
So it will take them 1 day 6 hours and 39 minutes to paint one small house.
