Question

It takes 32 minutes for 8 people to paint 8 walls. How many minutes does it take 12 people to paint 12 walls ? Confused !

Answer 1

It takes 32 Minutes for 12 people to paint 12 walls

Explanation:

If it takes 8 people 32 minutes to paint 8 walls, then that means each person takes 32 minutes to paint 1 wall. With that being said, If you have 12 people painting 12 walls, It will take 32 minutes for all 12 walls to be painted.

Hope this helps!

Answer 2

12 people take 32 minutes to paint 12 walls.

Explanation:

Since, When
`x_1` people complete a type of
`w_1` work in
`n_1` time and the same type of
`w_2` work in
`n_2` time,

Then, we can write,

`(x_1* n_1)/(w_1)=(x_2* n_2)/(w_2)`

Here,
`x_1=8\text{ persons}`

`n_1=32\text{ minutes}`

`w_1=8`

`x_2=12\text{ persons}`

`w_2=12`

We have to find :
`n_2`

By substituting the values in the above formula,

`(8* 32)/(8)=(12* n_2)/(12)`

`(256)/(8)=(12n_2)/(12)`

`3072=96n_2` ( By cross multiplication )

`\implies n_2=(3072)/(96)=32`

Hence, 12 people take 32 minutes to paint 12 walls.