Respuesta :
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.
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Answer:
12 people take 32 minutes to paint 12 walls.
Step-by-step explanation:
Since, When [tex]x_1[/tex] people complete a type of [tex]w_1[/tex] work in [tex]n_1[/tex] time and the same type of [tex]w_2[/tex] work in [tex]n_2[/tex] time,
Then, we can write,
[tex]\frac{x_1\times n_1}{w_1}=\frac{x_2\times n_2}{w_2}[/tex]
Here, [tex]x_1=8\text{ persons}[/tex]
[tex]n_1=32\text{ minutes}[/tex]
[tex]w_1=8[/tex]
[tex]x_2=12\text{ persons}[/tex]
[tex]w_2=12[/tex]
We have to find : [tex]n_2[/tex]
By substituting the values in the above formula,
[tex]\frac{8\times 32}{8}=\frac{12\times n_2}{12}[/tex]
[tex]\frac{256}{8}=\frac{12n_2}{12}[/tex]
[tex]3072=96n_2[/tex] ( By cross multiplication )
[tex]\implies n_2=\frac{3072}{96}=32[/tex]
Hence, 12 people take 32 minutes to paint 12 walls.