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 hour, how long will it take her to complete the entire picture
If Charla completes 2/3 of the area in 1/2 hour, it means she has 1/3 of the area left to complete.
Since 2/3 of the area was completed in 1/2 hour, it implies that 1/3 of the area will take 1/2 hour to complete.
Therefore, it will take Charla another 1/2 hour to complete the entire picture. Answer: \boxed{\frac{1}{2}\text{ hour}}.
To find out how long it will take Charla to complete the entire picture, we can use the concept of proportional reasoning.
Let's assume that completing 2/3 of the area of the driveway takes 1/2 hour.
Now, we can set up a proportion to find the time it will take to complete the entire picture:
(2/3 area) / (1/2 hour) = (1 whole area) / (x hours)
To solve for x, we can use cross-multiplication:
2/3 * x = 1/2 * 1
Multiply both sides by 3 to eliminate the fraction in the left-hand side of the equation:
2x = 3 * 1/2
Simplify the right-hand side:
2x = 3/2
Now, divide both sides by 2 to isolate x:
x = (3/2) / 2
To divide by a fraction, we can multiply by its reciprocal:
x = (3/2) * (1/2)
Multiply the numerators together and the denominators together:
x = 3/4
So, it will take Charla 3/4 of an hour to complete the entire picture on her driveway.
To find out how long it will take Charla to complete the entire picture, we'll need to use proportional reasoning.
First, let's break down the information given:
- Charla completes 2/3 of the area in 1/2 hour.
- We want to find out how long it will take her to complete the entire picture.
Since the area covered is proportional to the time taken, we can set up a proportion to solve for the unknown time:
(2/3 area covered) / (1/2 hour) = (1 whole area) / (unknown time)
To solve for the unknown time, we can cross multiply:
(2/3) * (unknown time) = (1/2)
Simplifying the equation, we have:
2 * (unknown time) = 3 * (1/2)
2 * (unknown time) = 3/2
Now, we can solve for the unknown time:
(unknown time) = (3/2) / 2
(unknown time) = 3/4
Therefore, it will take Charla 3/4 of an hour to complete the entire picture, which is equal to 45 minutes.