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 1/5 hour, how long will it take her to complete the entire picture? (1 point) of an hour
If Charla completes 2/3 of the area in 1/5 hour, it means she has only 1/3 remaining to complete.
Since 1/5 hour is equal to 1/(5/1) = 1*(1/5) = 1/5, Charla takes 1/5 hour to complete 2/3 of the area.
It will take her the same amount of time to complete the remaining 1/3 of the area.
So, it will take Charla 1/5 hour to complete the entire picture. Answer: \boxed{\text{hour}}.
To find out how long it will take Charla to complete the entire picture, we need to know the relationship between the area covered and the time taken.
Given that Charla completed 2/3 of the area in 1/5 hour, we can set up a ratio:
(2/3 area) : (1/5 hour) = (1 area) : (x hours)
To solve for x, we can use the concept of cross-products:
(2/3) / (1/5) = 1 / x
To further simplify the equation, we can invert and multiply:
(2/3) * (5/1) = 1 / x
Now we can calculate the left side of the equation:
(2/3) * (5/1) = 10/3
So, 10/3 = 1 / x
To solve for x, we can take the reciprocal of both sides:
x = 3/10
Since x represents the time taken to complete the entire picture, the answer is 3/10 of an hour.
To determine how long it will take Charla to complete the entire picture, we need to find the time it takes to complete 1 unit of the area.
We know that Charla completes 2/3 of the area in 1/5 hour. So, to find the time it takes to complete 1 unit of the area, we need to divide 1/5 by 2/3.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2/3 = 3/2.
Therefore, multiplying 1/5 by 3/2:
(1/5) * (3/2) = 3/10.
So, Charla completes 1 unit of the area in 3/10 hour.
Since we want to find the time it takes to complete the entire picture, and we know that completing 1 unit takes 3/10 hour, we can conclude that it will take Charla 3/10 hour to complete the entire picture. Therefore, the answer is 3/10 hour or 0.3 hours.