Question 333049
A painter can paint a certain house in 12 days

so in one day he can paint 1/12 th of the house

Working with his partner, the two can paint the house in 4 days

so in one day they both together can paint 1/4th of the house

let the partner paint 1/x th of the house in one day.


so 1/12 + 1/x = 1/4

=>  1/x = 1/4 - 1/12

=> 1/x = 1/6

therefore x = 6  

so the partner can paint 1/6 th of the house in one day


so he will take 6 days to paint the house completely