Final Answer:
The plane will arrive in Dallas at 2305 (11:05 PM).
Step-by-step explanation:
To find the arrival time, add the flight duration to the departure time. The departure time is 1915 (7:15 PM), and the flight takes 3 1/2 hours. First, convert 1/2 hour to minutes (1/2 hour = 30 minutes). Then, add the total flight time to the departure time:
\[ 1915 + 3 \text{ hours} + 30 \text{ minutes} = 2305 \]
So, the plane will arrive in Dallas at 2305 (11:05 PM).
Understanding time calculations involves converting minutes to hours if needed and adding them to the given time. In this case, the conversion of 1/2 hour to 30 minutes ensures accurate addition. It's crucial to pay attention to the format of the given time, ensuring it aligns with the desired format for the final answer.
This time calculation is especially important for scheduling and planning, ensuring accurate arrival times for various transportation modes. Such calculations are practical and commonly used in everyday scenarios to determine arrival or departure times based on known durations.