Charlie 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 Charlie completes 2/3 of the area in 1/2 hour, then 1/3 of the area remains to be completed.
Let's assume it will take Charlie x hours to complete the entire picture.
If Charlie completes 1/3 of the area in x hours, then in 1 hour she can complete 1/x * 1/3 = 1/3x of the area.
Since Charlie completes 2/3 of the area in 1/2 hour, she completes 1/3x of the area in 1 hour.
This means that 1/3x = 1/2, or x = 2 hours.
Therefore, it will take Charlie 2 hours to complete the entire picture. Answer: \boxed{2}.
To find out how long it will take Charlie to complete the entire picture, we can calculate the ratio of completed area to time.
Given that she completes 2/3 of the area in 1/2 hour, we can write the proportion:
(2/3) area / (1/2) hour = 1 whole area / x hours
To solve for x, we can cross multiply:
(2/3) area * x hours = 1 whole area * (1/2) hour
Simplifying, we get:
2x/3 = 1/2
To isolate x, we can multiply by 3/2 on both sides:
(2x/3) * (3/2) = (1/2) * (3/2)
This gives us:
x = 3/4
Therefore, it would take Charlie 3/4 of an hour to complete the entire picture.
To find out how long it will take Charlie to complete the entire picture, we'll first calculate the time it takes her to complete 2/3 of the area, and then use that information to find the remaining time needed.
Let's assume the total area of the rectangular driveway is represented by the value 1. The fraction 2/3 represents the portion of the area that Charlie completes in 1/2 hour. To find out how long it takes her to complete 2/3 of the area, we can set up a proportion:
(2/3) / (1/2) = x / 1
To find x, we need to cross multiply:
(2/3) * 1 = (1/2) * x
Simplifying the equation:
2/3 = x/2
To solve for x, we can multiply both sides of the equation by 2:
2 * (2/3) = x
4/3 = x
So, Charlie takes 4/3 hours to complete 2/3 of the area.
Now, to find out how long it will take her to complete the entire picture, we can subtract the time it takes her to complete 2/3 of the area from the total time of 1 hour.
1 - (4/3) = 3/3 - 4/3 = -1/3
Since a negative time value doesn't make sense in this context, we can conclude that Charlie cannot complete the entire picture in this scenario.