Final answer:
Joseph leaves work at 17:00 and after driving 48 km at 64 km/h, he will arrive home at 17:45 using the 24-hour clock.Joseph will arrive home at 17:45 based on the distance, speed, and time calculations.
Step-by-step explanation:
The subject of the question is Mathematics, as the problem involves calculating the arrival time based on distance, speed, and time of travel.
Joseph leaves work at 17:00 and drives 48 kilometres to his home at a constant speed of 64 kilometers per hour (km/h). To find out what time Joseph will arrive home, we need to calculate the time it takes for him to travel that distance.
The formula for time is:
Time = Distance ÷ Speed
Substituting the given values:
Time = 48 km ÷ 64 km/h = 0.75 hours
Since 0.75 hours is equal to 45 minutes, we add this time to the departure time:
17:00 + 0:45 = 17:45
Therefore, Joseph should arrive home at 17:45 on the 24-hour clock.