Question
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On a 3 hour bike ride, Rod averaged 5 miles per hour. Write a division equation that could be used to find the tatal distance, of Rod biked.

Ask by Schmidt Fitzgerald. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

To find the total distance Rod biked, use the equation: \[ \text{Distance} = \text{Speed} \times \text{Time} \] So, \[ \text{Distance} = 5 \text{ miles/hour} \times 3 \text{ hours} = 15 \text{ miles} \]

Solution

To find the total distance Rod biked, we can use the formula for distance, which is: \[ d = r \times t \] where: - \(d\) is the total distance, - \(r\) is the rate (average speed), and - \(t\) is the time. In this case, Rod's average speed \(r\) is 5 miles per hour, and the time \(t\) is 3 hours. We can set up the division equation to find the total distance \(d\) as follows: \[ d = 5 \text{ miles per hour} \times 3 \text{ hours} \] This can also be expressed as: \[ d = \frac{d}{t} \times t \] where \(d\) is the total distance, and \(t\) is the time. Thus, the division equation that could be used to find the total distance is: \[ d = 5 \times 3 \] Now, let's calculate the total distance. \[ d = 5 \times 3 \] Calculating this gives: \[ d = 15 \text{ miles} \] So, Rod biked a total distance of 15 miles.

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Extra Insights

To find the total distance Rod biked, you can use the equation: Distance = Speed × Time. Given that Rod's speed is 5 miles per hour and he rode for 3 hours, the equation would be: Distance = 5 miles/hour × 3 hours. Now, if you want this in a division format, you could rearrange it to show the relationship of distance to speed and time as: Total Distance ÷ Time = Speed. This means that if you wanted to find the total distance Rod traveled, you could take the total distance and divide it by the time to confirm the speed he maintained throughout his ride. Rod’s total distance can indeed be calculated as 15 miles! Keep that in mind for your next biking adventure!

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