six people can paint a house in 3 days, how long it would take two people to paint it?
It will take 18 work-days to paint the house.
So 2 people can do it in 9 days.
To find out how long it would take two people to paint a house, given that six people can paint it in 3 days, we can use the concept of "person-days".
Person-days represents the amount of work performed by one person in one day. So, if six people can paint the house in 3 days, it means that they collectively complete 6 x 3 = 18 person-days of work.
Now, to determine how long it would take two people to paint the same house, we can use the formula:
(Number of people) x (Number of days) = Total person-days
Substituting the given values, we have:
2 x (Number of days) = 18 person-days
To solve for the number of days, we can divide both sides of the equation by 2:
(Number of days) = 18 person-days / 2
Simplifying, we get:
(Number of days) = 9 days
Therefore, it would take two people 9 days to paint the house.