Question 1
A passenger travels from Atlanta to Dallas via Denver. The minimum layover at Denver is **60 minutes**.
**Flights Atlanta -> Denver:**
- F1-1: Dep 9:30 AM, Arr 12:25 PM
- F1-2: Dep 12:30 PM, Arr 3:25 PM
- F1-3: Dep 3:30 PM, Arr 6:25 PM
**Flights Denver -> Dallas:**
- F2-1: Dep 11:30 AM, Arr 1:30 PM
- F2-2: Dep 1:30 PM, Arr 3:30 PM
- F2-3: Dep 3:30 PM, Arr 5:30 PM
What is the minimum total elapsed time for the journey from Atlanta to Dallas?
1. Timeline Approach & Constraint Application (Minimum Layover: 60 min):
The fastest total time is found by checking all 9 combinations and ensuring the layover time (F2 Dep Time - F1 Arr Time) is at least the minimum required.
2. Optimal Path Calculation:
The minimum elapsed time of 360 minutes is achieved by combining F1-1 (Arr: 12:25 PM) and F2-2 (Dep: 1:30 PM, Arr: 3:30 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.
3. Final Answer: The minimum elapsed time is 6 hours and 0 minutes.
The fastest total time is found by checking all 9 combinations and ensuring the layover time (F2 Dep Time - F1 Arr Time) is at least the minimum required.
2. Optimal Path Calculation:
The minimum elapsed time of 360 minutes is achieved by combining F1-1 (Arr: 12:25 PM) and F2-2 (Dep: 1:30 PM, Arr: 3:30 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.
3. Final Answer: The minimum elapsed time is 6 hours and 0 minutes.