Question 1
An airline crew has the following flights:
- Flight 101: 08:00 → 10:00
- Flight 102: 10:30 → 12:30
- Flight 103: 13:00 → 15:00
- Flight 104: 15:30 → 17:30
- Flight 105: 18:00 → 20:00
Crew duty time limit is 8 hours. Minimum connection time between flights is 30 minutes. What is the maximum number of flights a crew can operate in a single duty period?
Step-by-step solution:
1. Convert all times to minutes for easier calculation:
- Flight 101: Departs at 8:00, Arrives at 10:00
- Flight 102: Departs at 10:30, Arrives at 12:30
- Flight 103: Departs at 13:00, Arrives at 15:00
- Flight 104: Departs at 15:30, Arrives at 17:30
- Flight 105: Departs at 18:00, Arrives at 20:00
2. Duty time limit: 480 minutes (8 hours)
3. Minimum connection time: 30 minutes
4. Find optimal sequence of flights:
Best sequence found: Flight 103 → Flight 104 → Flight 105
- Take Flight 103: Departs at 13:00
- Connection time: 30 minutes
- Take Flight 104: Departs at 15:30
- Connection time: 30 minutes
- Take Flight 105: Departs at 18:00
Total duty time: 420 minutes (7 hours, 0 minutes)
5. Maximum flights possible: 3
Answer: 3 flights
✓ Duty time check: 7h 0m ≤ 8h (PASSED)
1. Convert all times to minutes for easier calculation:
- Flight 101: Departs at 8:00, Arrives at 10:00
- Flight 102: Departs at 10:30, Arrives at 12:30
- Flight 103: Departs at 13:00, Arrives at 15:00
- Flight 104: Departs at 15:30, Arrives at 17:30
- Flight 105: Departs at 18:00, Arrives at 20:00
2. Duty time limit: 480 minutes (8 hours)
3. Minimum connection time: 30 minutes
4. Find optimal sequence of flights:
Best sequence found: Flight 103 → Flight 104 → Flight 105
- Take Flight 103: Departs at 13:00
- Connection time: 30 minutes
- Take Flight 104: Departs at 15:30
- Connection time: 30 minutes
- Take Flight 105: Departs at 18:00
Total duty time: 420 minutes (7 hours, 0 minutes)
5. Maximum flights possible: 3
Answer: 3 flights
✓ Duty time check: 7h 0m ≤ 8h (PASSED)