A cyclist road for 3.5 hours and completed a distance of 60.9 mi if she kept the same average speed for each hour how far did she ride in 1 hour estimate the code tent include an equation to show your work explain your thinking

1 answer

To find out how far the cyclist rode in 1 hour, you can use the average speed formula:

\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

In this case, the total distance is 60.9 miles, and the total time is 3.5 hours.

Now, let's plug the values into the formula:

\[ \text{Average Speed} = \frac{60.9 \text{ miles}}{3.5 \text{ hours}} \]

To calculate this, divide 60.9 by 3.5:

\[ \text{Average Speed} = 17.4 \text{ miles per hour} \]

Thus, she rode approximately 17.4 miles in 1 hour.

Explanation of thinking:

  1. Understanding the problem: The question asks for the distance traveled by the cyclist in 1 hour, given the total distance and time.

  2. Applying the formula: I used the average speed formula because it relates distance, time, and speed, allowing us to determine how far she travels in one hour based on her average speed.

  3. Performing the calculation: By dividing the total distance by the total time, I found her average speed.

  4. Interpreting the result: The average speed of 17.4 miles/hour reflects the distance covered by the cyclist in any single hour, as it is consistent over the entire duration of her ride.