Question

If five painters can paint a house in 3 days what part of the house will 3 painters be able to paint in 4 days?

Answer 1

4/5 part of house in 4 days by 3painters

Answer 2

Answer:

4/5th part of the house

Step-by-step explanation:

Given data

A five painters can paint a house in 3 days

here we need to find the part of the house that can be painted by 3 painters in 4 days

let x (work) be the total area of the house which can be painted in 3 days    

⇒ the part house that can be painted in 1 day = $\frac{x}{3}$  

⇒ the part house that can be painted by

                    each person in five painters = $\frac{ \frac{x}{3} }{5}$ = $\frac{x}{15}$  

⇒ the part house that can be painted by 3 persons in 1 day  = $3(\frac{x}{15} )$ = $\frac{x}{5}$    

⇒ the part house that can be painted by 3 painters in 4 days = $4(\frac{x}{5} )$

⇒ part of the house that can be painted by 3 painters in 4 days =  $\frac{4}{5}$ of x