Sharla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 23 of the area in 12 hour, how long will it take her to complete the entire picture.

Answer 1

To find out how long it will take Sharla to complete the entire picture, we can set up a proportion based on the information given.

Sharla completes \( \frac{2}{3} \) (or 23/34) of the area in 12 hours. We can calculate the time it would take to complete the entire area by using this information.

Given that \( \frac{2}{3} \) of the area takes 12 hours, we can find the time for the whole area (1 whole area) as follows:

Let \( t \) be the total time to complete the entire picture:

\[ \frac{2}{3} \text{ area} \Rightarrow 12 \text{ hours} \]

To find \( t \), we can set up the equation:

\[ \frac{2}{3} \cdot t = 12 \text{ hours} \]

To solve for \( t \), multiply both sides by \( \frac{3}{2} \):

\[ t = 12 \times \frac{3}{2} = 12 \times 1.5 = 18 \text{ hours} \]

Thus, it will take Sharla 18 hours to complete the entire picture.