1. **State the problem:** A flight to Johannesburg was scheduled to depart at 07:50 local time with a duration of 10 hours 45 minutes. It is delayed by 3 hours at departure, but the pilot recovers 45 minutes during the flight. We need to find the new local arrival time. 2. **Understand the given data:** - Scheduled departure time: 07:50 - Flight duration: 10 hours 45 minutes - Delay at departure: 3 hours - Recovery during flight: 45 minutes 3. **Calculate the effective delay:** $$\text{Effective delay} = 3\text{ hours} - 0.75\text{ hours} = 2.25\text{ hours}$$ 4. **Calculate the new departure time:** $$\text{New departure time} = 07:50 + 3\text{ hours} = 10:50$$ 5. **Calculate the new arrival time before recovery:** $$10:50 + 10\text{ hours } 45\text{ minutes} = 21:35$$ 6. **Apply the recovery of 45 minutes:** $$21:35 - 0:45 = 20:50$$ 7. **Final answer:** The flight will arrive at **20:50** local time. **Answer: C. 20:50**