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

Answer:

12 people take 32 minutes to paint 12 walls.

Step-by-step 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,

$\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}$

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,

$\frac{8\times 32}{8}=\frac{12\times n_2}{12}$

$\frac{256}{8}=\frac{12n_2}{12}$

$3072=96n_2$    ( By cross multiplication )

$\implies n_2=\frac{3072}{96}=32$

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

Answer 2

Answer:

It takes 32 Minutes for 12 people to paint 12 walls

Step-by-step 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!