Final answer:
The motorist's average speed is 33.33 km/h and 9.259 m/s, calculated by dividing the distance by the time and then converting the units accordingly.
Step-by-step explanation:
To calculate the average speed in kilometers per hour (km/h), we divide the distance traveled by the time taken to travel that distance:
Distance = 125 km
Time = 3 hours 45 minutes = 3 + 45/60 hours = 3.75 hours
Average speed (km/h) = Distance / Time
Average speed (km/h) = 125 km / 3.75 h = 33.33 km/h
The conversion for the average speed in meters per second (m/s) can be done by converting kilometers into meters and hours into seconds:
1 km = 1000 meters
1 hour = 3600 seconds
Average speed (m/s) = (Average speed in km/h) × (1000 m/1 km) × (1 h/3600 s)
Average speed (m/s) = 33.33 km/h × (1000/3600)
Average speed (m/s) = 9.259 m/s
Therefore, the motorist's average speed is 33.33 km/h and 9.259 m/s.