Question
On a 3-hour bike nde, Rod averaged 5 miles per hour. Write a division equation that could be used to find the lotal digtance, of, Rod biked.
Ask by O'Quinn Clarke. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
To find the total distance Rod biked, use the division equation:
\[ \frac{D}{3} = 5 \]
Solving for \( D \) gives:
\[ D = 15 \text{ miles} \]
So, Rod biked **15 miles**.
Solution
To find the total distance Rod biked, you can use the relationship between distance, speed, and time. The formula that connects these three is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
However, to express this as a **division equation**, you can rearrange the formula to solve for distance divided by time:
\[ \frac{\text{Distance}}{\text{Time}} = \text{Speed} \]
Given:
- Speed (\( S \)) = 5 miles per hour
- Time (\( T \)) = 3 hours
Substitute the known values into the division equation:
\[ \frac{D}{3} = 5 \]
Where:
- \( D \) is the total distance Rod biked.
**Final Division Equation:**
\[ \frac{D}{3} = 5 \]
To solve for \( D \), you would multiply both sides by 3:
\[ D = 5 \times 3 \]
\[ D = 15 \text{ miles} \]
So, Rod biked a total of **15 miles**.
**Answer:** An example is total distance divided by 3 equals 5, that is
Distance ⁄ 3 = 5
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Bonus Knowledge
To find the total distance Rod biked, you can use the equation: Total Distance = Average Speed × Time. In numbers, this can be represented as D = 5 miles/hour × 3 hours. So, D = 15 miles. This means that in those 3 hours, Rod covered a total distance of 15 miles while enjoying his bike ride! Remember, it’s all about keeping the units consistent. In this case, your average speed is in miles per hour, and your time is in hours, so your total distance will come out in miles. Just don’t forget to apply the correct multiplication!