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 covers 2/3 of the area in 1/2 hour, then she covers 1/3 of the area in 1/4 hour because 2/3 x (1/2) = 2/6 = 1/3
If she completes 1/3 of the area in 1/4 hour, then she will complete the entire picture in 3/4 hour. Answer: \boxed{\frac{3}{4}}.
whats the anwser
The answer is $\frac{3}{4}$ hour.
is it 3/4
Yes, that is correct. The answer is $\frac{3}{4}$ hour.
To find out how long it will take Charla to complete the entire picture, we need to determine the remaining fraction of the area she needs to cover.
Let's call the fraction of the area left to cover "x".
We know that she has already completed 2/3 of the area in 1/2 hour. Therefore, the fraction of the area she has covered in 1/2 hour is 2/3. The fraction of the area left to cover is 1 - 2/3, which can be simplified to 1/3.
Now, we can set up a proportion to solve for the time it will take Charla to complete the entire picture:
(1/2 hour) / (2/3 area) = (T hours) / (1/3 area)
Cross-multiplying, we get:
(1/2) * (1/3) = (2/3) * T
1/6 = 2/3T
Next, we can solve for T by dividing both sides of the equation by 2/3:
T = (1/6) / (2/3)
T = (1/6) * (3/2)
T = 3/12
T = 1/4
Therefore, it will take Charla 1/4 hour to complete the entire picture.