To determine the time the motorist reached their destination, we need to calculate the total travel time for the two segments of the journey.
For the first segment: Distance = 40 km Average speed = 40 km/h
Using the formula: Time = Distance / Speed Time = 40 km / 40 km/h = 1 hour
For the second segment: Distance = 200 km Average speed = 75 km/h
Time = 200 km / 75 km/h ≈ 2.67 hours (rounded to two decimal places)
Now, let's add up the travel times for both segments: Total travel time = 1 hour + 2.67 hours = 3.67 hours
The motorist started their journey at 8:45 am, so to determine the arrival time, we add the travel time to the starting time:
Arrival time = 8:45 am + 3.67 hours
Converting 0.67 hours to minutes: 0.67 hours * 60 minutes/hour = 40.2 minutes (rounded to the nearest minute)
Adding the minutes to the starting time: 45 minutes + 40.2 minutes = 85.2 minutes
Converting 85.2 minutes to hours and minutes: 85.2 minutes ÷ 60 minutes/hour = 1 hour and 25.2 minutes
Finally, adding the hours and minutes to the starting time: 8:45 am + 3 hours + 1 hour + 25 minutes = 11:10 am
Therefore, the motorist reached their destination at approximately 11:10 am.