it takes 2 painters 12 hours to paint the interior of a house. assuming the amount of time it takes to paint…

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?1 hour3 hours4 hours8 hours

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?1 hour3 hours4 hours8 hours

Answer

Explanation:

Step1: Calculate total work units

Total work = Number of painters × Time = $2 \times 12 = 24$ painter-hours

Step2: Find time for 6 painters

Time = $\frac{\text{Total work}}{\text{Number of painters}} = \frac{24}{6}$

Answer:

4 hours