Henry can paint a small house in 3 days, Ruby can paint a small house in 4 days, and Charlie can paint a small house in 5 days. How long will it take for Henry, Ruby and Charlie to paint one small house together? Give your answer as a fraction.

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.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.