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?(1 poin
To find out how long it will take Charla to complete the entire picture, we need to determine the time it takes to complete 1/3 of the area.
Since she completes 2/3 of the area in 1/2 hour, she completes 1/3 of the area in half the time.
Thus, it will take Charla (1/2) * (1/2) = 1/4 hour to complete 1/3 of the area.
Therefore, it will take her 1/4 hour to complete the entire picture.
To find out how long it will take Charla to complete the entire picture, we need to find the time it takes for her to complete 1/3 of the area covered in half an hour.
Since she completes 2/3 of the area in 1/2 hour, we can say that 2/3 of the area is equal to 1/2 hour.
Multiplying both sides of the equation by 3/2, we get:
(2/3) * (3/2) * Area = (1/2) * (3/2) * time
This simplifies to:
Area = (3/4) * time
If we want to know the time it takes to complete 1/3 of the area, we can substitute (1/3) of the area for Area in the equation above:
(1/3) of the area = (3/4) * time
To find time, we can isolate it on one side of the equation:
time = (4/3) * (1/3) of the area
Simplifying, we get:
time = (4/9) * of the area
So it would take Charla (4/9) of the area in order to complete the entire picture.
Therefore, it would take Charla (4/9) * (1/2) = 2/9 of an hour to complete the entire picture.
Converting 2/9 of an hour to minutes, we get:
(2/9) * 60 = 40/3
So it would take Charla approximately 13 minutes and 20 seconds to complete the entire picture.
To find out how long it will take Charla to complete the entire picture, we can start by determining the ratio of time taken to complete 2/3 of the area to the time taken to complete the entire picture.
Let's break down the problem:
1. Charla completed 2/3 of the area of her driveway in 1/2 hour.
2. We want to find out how long it will take her to complete the entire picture.
To calculate how long it will take Charla to complete the entire picture, we can set up a proportion based on the ratio of time taken to complete 2/3 of the area to the time taken to complete the whole picture:
(2/3 area completed) / (1/2 hour) = (1 whole picture) / (x hours)
To solve for x (the time to complete the whole picture), we can cross-multiply:
(2/3) / (1/2) = 1 / x
Multiplying the fractions:
(2/3) * (2/1) = 1 / x
Now, simplify the left side of the equation:
(4/3) = 1 / x
Next, we will solve for x by taking the reciprocal of both sides of the equation:
3/4 = x/1
Multiply both sides by 1 to isolate x:
x = 3/4
Therefore, it will take Charla 3/4 of an hour to complete the entire picture. This can also be expressed as 45 minutes since there are 60 minutes in an hour.