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Answer :
Sure, I'd be happy to help with that!
To determine the runner's average speed, we need to know both the distance they ran and the time it took them. Here's the information given:
- The runner completed a 1600-meter run.
- The runner took 6 minutes and 24 seconds to finish the run.
Let's break down the steps to find the average speed in meters per minute:
### Step 1: Convert the total time to minutes
The runner's time is given in minutes and seconds. To find the total time in minutes, we need to convert the seconds into minutes.
There are 60 seconds in a minute, so:
[tex]\[ \text{Seconds portion in minutes} = \frac{24 \text{ seconds}}{60 \text{ seconds per minute}} = 0.4 \text{ minutes} \][/tex]
Now, add the converted seconds to the minutes:
[tex]\[ \text{Total time in minutes} = 6 \text{ minutes} + 0.4 \text{ minutes} = 6.4 \text{ minutes} \][/tex]
### Step 2: Calculate the average speed
The formula for average speed is:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \][/tex]
We know the total distance is 1600 meters and the total time is 6.4 minutes:
[tex]\[ \text{Average speed} = \frac{1600 \text{ meters}}{6.4 \text{ minutes}} = 250 \text{ meters per minute} \][/tex]
### Conclusion
The runner's average speed is [tex]\( 250 \)[/tex] meters per minute.
So the detailed, step-by-step solution shows that, based on the given times and distances, the runner's average speed is 250 meters per minute.
To determine the runner's average speed, we need to know both the distance they ran and the time it took them. Here's the information given:
- The runner completed a 1600-meter run.
- The runner took 6 minutes and 24 seconds to finish the run.
Let's break down the steps to find the average speed in meters per minute:
### Step 1: Convert the total time to minutes
The runner's time is given in minutes and seconds. To find the total time in minutes, we need to convert the seconds into minutes.
There are 60 seconds in a minute, so:
[tex]\[ \text{Seconds portion in minutes} = \frac{24 \text{ seconds}}{60 \text{ seconds per minute}} = 0.4 \text{ minutes} \][/tex]
Now, add the converted seconds to the minutes:
[tex]\[ \text{Total time in minutes} = 6 \text{ minutes} + 0.4 \text{ minutes} = 6.4 \text{ minutes} \][/tex]
### Step 2: Calculate the average speed
The formula for average speed is:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \][/tex]
We know the total distance is 1600 meters and the total time is 6.4 minutes:
[tex]\[ \text{Average speed} = \frac{1600 \text{ meters}}{6.4 \text{ minutes}} = 250 \text{ meters per minute} \][/tex]
### Conclusion
The runner's average speed is [tex]\( 250 \)[/tex] meters per minute.
So the detailed, step-by-step solution shows that, based on the given times and distances, the runner's average speed is 250 meters per minute.
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