Question
Kaitlin is on her way home in her car. She has driven 20 miles so far, which is four-fifths of the way home. What is the total length of her drive?
Ask by Chen Sanders. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The total length of Kaitlin's drive is 25 miles.
Solution
To determine the total length of Kaitlin's drive, we can set up the problem using the information provided:
1. **Given:**
- Kaitlin has driven **20 miles**, which is **four-fifths (4/5)** of the total distance home.
2. **Let** the total length of the drive be represented by **\( D \)**.
3. **Set up the equation:**
\[
\frac{4}{5} \times D = 20
\]
4. **Solve for \( D \):**
\[
D = 20 \div \left(\frac{4}{5}\right) = 20 \times \frac{5}{4} = 25 \text{ miles}
\]
**Therefore, the total length of Kaitlin's drive is 25 miles.**
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Simplify this solution Extra Insights
If 20 miles is four-fifths of Kaitlin's drive, we can find the total distance by setting up the equation: Total distance = 20 miles / (4/5). When you divide 20 by four-fifths, it's the same as multiplying by five-fourths. So, 20 miles * (5/4) = 25 miles. That's the total length of her drive home! Now, this math can be seen as an example of using fractions to solve real-life distance problems. Understanding how to manipulate fractions helps in various situations, like calculating gas usage, travel time, or even cooking recipes where proportions matter!
