Certainly! Let's calculate the jogger's speed step-by-step.
1. Convert the time to total seconds:
- The jogger took 45 minutes and 24 seconds to cover the distance.
- First, convert the minutes into seconds. There are 60 seconds in a minute, so:
[tex]\[
45 \, \text{minutes} \times 60 \, \text{seconds/minute} = 2700 \, \text{seconds}
\][/tex]
- Now, add the extra 24 seconds:
[tex]\[
2700 \, \text{seconds} + 24 \, \text{seconds} = 2724 \, \text{seconds}
\][/tex]
- Thus, the total time taken is 2724 seconds.
2. Calculate the speed in meters per second:
- Speed is calculated as distance divided by time.
- The distance covered was 2642 meters, so:
[tex]\[
\text{Speed} = \frac{2642 \, \text{meters}}{2724 \, \text{seconds}} \approx 0.9699 \, \text{m/s}
\][/tex]
- Therefore, the speed in meters per second is approximately 0.9699 m/s.
3. Convert the speed to kilometers per hour:
- To convert meters per second to kilometers per hour, you multiply by 3.6 (as there are 3600 seconds in an hour and 1000 meters in a kilometer):
[tex]\[
\text{Speed in km/h} = 0.9699 \, \text{m/s} \times 3.6 \approx 3.4916 \, \text{km/h}
\][/tex]
- Therefore, the speed in kilometers per hour is approximately 3.4916 km/h.
So, the jogger's speed was approximately 0.9699 meters per second or 3.4916 kilometers per hour.
