https://file.aiquickdraw.com/mathbot/file/1726851473672y2ue5q5t.jpg

The problem in the image asks:

**An object is traveling at a steady speed of \(8 \frac{2}{3}\) miles per hour. How long will it take the object to travel \(5 \frac{1}{5}\) miles?**

### Step-by-step Solution:

1. **Convert the mixed numbers into improper fractions**:
   - Speed: \(8 \frac{2}{3} = \frac{26}{3}\) miles per hour.
   - Distance: \(5 \frac{1}{5} = \frac{26}{5}\) miles.

2. **Use the formula for time**:
   \[
   \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{\frac{26}{5}}{\frac{26}{3}}
   \]

3. **Simplify the division of fractions**:
   \[
   \frac{\frac{26}{5}}{\frac{26}{3}} = \frac{26}{5} \times \frac{3}{26} = \frac{3}{5}
   \]

   So, the time it takes is \( \frac{3}{5} \) hours.

4. **Convert the time to minutes** (optional):
   \[
   \frac{3}{5} \times 60 = 36 \, \text{minutes}
   \]

### Final Answer:
The object will take **\( \frac{3}{5} \) hours**, or **36 minutes**, to travel \(5 \frac{1}{5}\) miles.

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Would you like further details on any step, or do you have additional questions?

Here are 5 related questions:
1. How do you convert mixed numbers to improper fractions?
2. How can you find the time if the speed and distance are given as decimals?
3. What is the general formula for calculating speed, time, and distance?
4. How would the time change if the speed was halved?
5. How do you convert fractional time into hours and minutes?

**Tip:** Always simplify fractions first to make calculations easier when working with rates, time, and distance.

An object is traveling at a steady speed of 8 2/3 miles per hour. How long will it take the object to travel 5 1/5 miles?

Learn how to calculate the time it takes for an object to travel a certain distance at a given speed using fractions. This problem uses the basic formula Time = Distance / Speed and involves converting mixed numbers to improper fractions.

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