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It takes 2 painters 12 hours to paint the interior of a house. Assuming the amount of time it takes to paint the house is inversely related to the number of painters, how many hours will it take 6 painters to paint the house?

A) 1 hour
B) 3 hours
C) 4 hours
D) 8 hours

Respuesta :

the answer to this question i 4

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Number of painters to paint the interior of a house = 2

According to question, amount of time it takes to paint the house is inversely related to the number of painters.

So, Time is inversely related to number of painters.

If the number of painters to paint the house = 6

So, we get

[tex]\frac{2}{6}=\frac{x}{12}\\\\2\times 12=6\times x\\\\24=6\times x\\\\\frac{24}{6}=x\\\\4\ hours=x[/tex]

Hence, it will take 4 hours to paint the house by 6 painters.

Therefore, Option 'C' is correct.

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