Question

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

Answer 1

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.