Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 2/3 of the area in 1/2 hours, how long will it take her to complete the entire picture?

Answer 1

Since Charla completes 2/3 of the area in 1/2 hours, this means that 1/2 * (2/3) = <<1/2*(2/3)=1/3>>1/3 of the area is completed in 1/2 hours.
Let's say it takes Charla x hours to complete the entire picture.
This means that 1/3 of the area is completed in x hours.
Since 1/3 of the area is completed in x hours, this means that 1/2 * (1/3) = 1/(2*3) = 1/6 of the area is completed in 1/2 hours.
This means that 1/2 = 1/6 * (1/2) = 1/12 of the area is completed in 1/2 hours.
If 1/12 of the area is completed in 1/2 hours, then it will take Charla 1/(1/12) = 12/1 = 12 hours to complete the entire picture. Answer: \boxed{12}.