To calculate the average speed of the plane, we first need to find the total time it took for the journey and then divide the total distance traveled by this time.
The time difference between Paris and Istanbul is 2 hours, so the plane spent 5 hours and 25 minutes in flight (15:48 - 10:23 = 5:25).
To convert 5 hours and 25 minutes into hours: 5 + 25/60 = 5.42 hours.
Now, we can calculate the average speed using the formula:
Average speed = Total distance / Total time
Given that the total distance is 2730 km, and the total time is 5.42 hours:
Average speed = 2730 / 5.42
Average speed ≈ 503.7 km/hr
So, the average speed of the plane is approximately 503.7 kilometers per hour.