Question

Charla 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? Enter your answer as a simplified fraction. (1 point)
of an hour

Answer 1

To determine how long it will take Charla to complete the entire picture, we first find out how much area she can cover in one hour.

If Charla completes \(\frac{23}{12}\) of the area in 12 hours, we can calculate the area she completes in one hour by dividing this quantity by 12:

\[
\text{Area per hour} = \frac{23}{12} \div 12 = \frac{23}{12} \times \frac{1}{12} = \frac{23}{144}
\]

Now, to find out how long it will take to complete 1 whole area, we take the reciprocal of her hourly rate.

The time \(t\) to complete 1 area is given by:

\[
t = \frac{1 \text{ area}}{\frac{23}{144} \text{ area per hour}} = \frac{144}{23} \text{ hours}
\]

Thus, the time it will take Charla to complete the entire picture is:

\[
\boxed{\frac{144}{23}} \text{ hours}
\]