a runner covers a 5km course in 22 minutes. calculate the average speed in m/s

To find the average speed, we use the formula:

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

### Step 1: Convert the distance to meters.
The distance is given as 5 km. To convert kilometers to meters:
\[
5 \text{ km} = 5 \times 1000 = 5000 \text{ m}
\]

### Step 2: Convert the time to seconds.
The time is given as 22 minutes. To convert minutes to seconds:
\[
22 \text{ minutes} = 22 \times 60 = 1320 \text{ seconds}
\]

### Step 3: Calculate the average speed.
\[
\text{Average Speed} = \frac{5000 \text{ m}}{1320 \text{ s}} \approx 3.79 \text{ m/s}
\]

So, the runner's average speed is approximately **3.79 m/s**.

Would you like more details or have any questions?

### Related Questions:
1. How would the average speed change if the runner completed the course in 20 minutes?
2. What is the runner’s speed in km/h?
3. How long would it take the runner to complete a 10 km course at the same average speed?
4. What is the significance of average speed in this context compared to instantaneous speed?
5. How would you calculate average speed if the runner had covered different distances in different time intervals?

**Tip:** To convert between units of speed, remember that 1 m/s is equal to 3.6 km/h.

A runner covers a 5km course in 22 minutes. Calculate the average speed in m/s.

Learn how to calculate the average speed of a runner covering a 5 km course in 22 minutes using the formula for speed. This solution includes unit conversions from kilometers to meters and minutes to seconds, resulting in an average speed of 3.79 m/s. Suitable for Grades 6-8.

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