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?(1 point)

Answer 1

To find out how long it will take Charla to complete the entire rectangular area of her driveway, you can set up a proportion based on the information given.

Charla completes \(\frac{23}{12}\) of the area in 1 hour. To find out how long it will take her to complete the entire area, you can set up the following calculation:

1. Rate of Completion: Charla completes \(\frac{23}{12}\) of the area in 1 hour.

   Therefore, in 1 hour, she completes about \(1.9167\) of the area (which is \(\frac{23}{12}\)).

   To find how many hours it takes for 1 whole area, you set up the equation: \[ \text{Time} = \frac{\text{Total area}}{\text{Rate of completion per hour}} = \frac{1 \text{ area}}{\frac{23}{12} \text{ area/hour}} \]

2. Calculating Time: \[ \text{Time} = 1 \times \frac{12}{23} \text{ hours} = \frac{12}{23} \text{ hours} \]

3. Convert Time to Hours and Minutes: We can convert \(\frac{12}{23}\) hours to minutes: \[ \frac{12}{23} \text{ hours} \approx 0.5217 \text{ hours} \] To convert this to minutes, multiply by 60: \[ 0.5217 \times 60 \approx 31.3 \text{ minutes} \]

In conclusion, it will take Charla approximately 31.3 minutes to complete the entire picture.

Answer 2

Are you sure

Answer 3

Let's go through the calculation step by step to ensure accuracy.

1. Understanding the Problem: Charla completes \(\frac{23}{12}\) of the area in 12 hours. We need to determine how long it will take her to complete the entire area (1 whole area).

2. Calculate the Rate of Work:

   • If she completes \(\frac{23}{12}\) of the area in 12 hours, then in 1 hour, the fraction of the area she completes is: \[ \text{Rate} = \frac{\frac{23}{12}}{12} = \frac{23}{144} \text{ of the area per hour} \]

3. Time to Complete the Entire Area:

   • To find the time to complete 1 whole area, we can set up the equation: \[ \text{Time} = \frac{1 \text{ area}}{\text{Rate}} = \frac{1}{\frac{23}{144}} = \frac{144}{23} \text{ hours} \]

4. Calculate Time:

   • Now, let's perform the division: \[ \frac{144}{23} \approx 6.2609 \text{ hours} \]
   • This can be converted into hours and minutes:
     • The whole number part is 6 hours.
     • The decimal part (\(0.2609\)) of an hour can be converted into minutes: \[ 0.2609 \times 60 \approx 15.65 \text{ minutes} \]
     • This means about 15 minutes and \(0.65 \times 60 \approx 39\) seconds.

5. Final Result: Therefore, it will take Charla approximately 6 hours and 16 minutes (rounding \(15.65\) to \(16\) minutes) to complete the entire picture.

I apologize for the previous error in my calculation. Thank you for your patience!

Answer 4

My answer says 52.08

Answer 5

Let’s carefully go through the calculations again to determine the correct time it takes for Charla to complete the entire picture.

Given Information:

• Charla completes \(\frac{23}{12}\) of the area in 12 hours.

First, calculate the work done per hour:

1. To find out how much of the area she completes per hour, we set up the equation: \[ \text{Area completed per hour} = \frac{\frac{23}{12}}{12} = \frac{23}{144} \text{ of the area per hour} \]

Then, calculate the time to complete the entire area:

2. To complete 1 whole area (1 unit): \[ \text{Time} = \frac{1 \text{ area}}{\text{Rate}} = \frac{1}{\frac{23}{144}} = \frac{144}{23} \text{ hours} \]

3. Now let's calculate \(\frac{144}{23}\): \[ \frac{144}{23} \approx 6.26087 \text{ hours} \]

4. Convert to Hours and Minutes:

   • The whole part is 6 hours.
   • The decimal part \(0.26087\) can be converted to minutes: \[ 0.26087 \times 60 \approx 15.65 \text{ minutes} \]

Final Check with Your Value:

It seems like the confusion is regarding the interpretation of the original problem.

If we’re looking to find how long it takes based on the fact that **she could complete 23 parts of a total area in 12 hours, we could calculate as follows:

1. If Charla completes \(\frac{23}{12}\) of the area in 12 hours, to find the time for 1 full area (1 unit), we find: \[ \text{Time for 1 area} = 12 \times \frac{1}{\frac{23}{12}} = 12 \times \frac{12}{23} = \frac{144}{23} \approx 6.26 \text{ hours} \]

To clarify, \(6.26\) hours converts to approximately 6 hours and 15.65 minutes, not 52.08.

Understanding Your Value:

If 52.08 was arrived at through some different computations or assumptions, it might have been based on a different interpretation of the problem.

If you could share how you derived 52.08 or its context, we can analyze that together for clarity. The determined answer under the current interpretation consistently results in approximately 6.26 hours (6 hours and about 16 minutes).

Please let me know if there’s further information or context that could help clarify this.