# It takes 3 days for 4 people to paint 5 houses. how long will it take for 2 people to paint 6 houses.?

### 15 Answers

- ComoLv 74 months ago
People______houses_____days

4____________5__________3

2____________6__________2/4 x 6/5. x 3

9/5 days

- AmyLv 74 months ago
It takes 3 days for 4 people to paint 5 houses.

Thus, in 1 day 1 person paints 5/12 of a house.

Painting 6 houses takes 6/(5/12) = 14.4 people x days.

Painting 6 houses takes 2 people 7.2 days.

- KrishnamurthyLv 74 months ago
If it takes 3 days for 4 people to paint 5 houses.

it will take 3.6 days for 4 people to paint 6 houses and

it will take 7.2 days for 2 people to paint 6 houses.

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- llafferLv 75 months ago
work = rate * time

Work is the number of houses.

Rate is the rate of one person. When multiple people work together, you add up the rates.

You are told that 4 people paints 5 houses in 3 days, so this equation works out to be:

w = rt

5 = (4r) * 3

we can then solve for r to get the rate of one person in terms of houses per day:

5 = 12r

5/12 = r

How long will it take 2 people to paint 6 houses?

w = rt

w = 6, r = 2(5/12) (two times the rate of one person), solve for the unknown:

6 = 2(5/12)t

6 = (5/6)t

6(6/5) = t

36/5 = t

7.2 = t

It will take 7.2 days.

- RealProLv 75 months ago
The distinct piece of job here to be talked about is painting a single house. That requires a set amount of "effort" which is constant unless you want to exceed or let down expectations.

effort = 3*4 people-days for 5 houses = 2.4 people-days per house.

for 6 houses, you will need 14.4 people-days. With 2 people, that is 7.2 days.

- 5 months ago
It takes 12 people-days to paint 5 houses

Therefore, it takes 2.4 people-days to paint a single house

2.4 people-days/house * 6 houses => 14.4 people-days

2 people * x days = 14.4 people-days

2x = 14.4

x = 7.2

- The GnosticLv 75 months ago
Four people can paint 5 houses in 3 days.

Two people, therefore, should be able to paint 5 houses in 6 days, or 5/6 of a house per day.

6 houses divided by 5/6 house/day = 36/5 = 7.2 days.

- sepiaLv 75 months ago
It takes 3 days for 4 people to paint 5 houses.

It will take 7.2 days for 2 people to paint 6 houses.

- Anonymous5 months ago
You should do your own 3rd grade math homework.