Final answer:
A.) The average speed of the aircraft is 746.27 km/h. B.) The pilot will fly a distance of 3500 km in 7 round trips. C.) The pilot will spend a total of 110 minutes (1 hour and 50 minutes) in the aircraft on one round trip.
Step-by-step explanation:
A.) To find the average speed of the aircraft, we need to divide the total distance travelled by the total time taken. The distance between the two places is 500 km and the flight takes 40 minutes (or 0.67 hours). So, the average speed is:
Average speed = Total distance / Total time
Average speed = 500 km / 0.67 hours = 746.27 km/h
Therefore, the average speed of the aircraft is 746.27 km/h.
B.) To find the distance the pilot will fly in 7 round trips, we multiply the distance of one round trip by 7. One round trip covers a distance of 500 km. So, the total distance covered in 7 round trips is:
Total distance = Distance of one round trip * Number of round trips
Total distance = 500 km/round trip * 7 round trips = 3500 km
Therefore, the pilot will fly a distance of 3500 km in 7 round trips.
C.) If the pilot boards 20 minutes before take-off and disembarks 15 minutes after landing at each airport, the total amount of time spent in the aircraft on one round trip can be calculated as:
Total time = Flight time + Boarding time + Disembarking time
Total time = 40 minutes + 20 minutes + 15 minutes + 20 minutes + 15 minutes = 110 minutes
Therefore, the pilot will spend a total of 110 minutes (1 hour and 50 minutes) in the aircraft on one round trip.