Unit Rates & Proportions Unit Test
4 of 154 of 15 Items
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 point)
of an hour
To find out how long it will take Charla to complete the entire picture, we can set up a proportion using the information given.
Let's say it will take x hours for Charla to complete the entire picture.
We can set up the proportion as follows:
(2/3) / (1/2) = 1 / x
To solve for x, we can cross multiply:
(2/3) * x = (1/2) * 1
2x/3 = 1/2
Multiplying both sides of the equation by 6 (the least common multiple of 3 and 2), we get:
2x * 2 = 3 * 1
4x = 3
Dividing both sides of the equation by 4, we get:
x = 3/4
Therefore, it will take Charla 3/4 of an hour to complete the entire picture, or 45 minutes.