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Dynamic Transportation Optimization Beginner-Intermediate Worksheet: Focus on common variations practice Dynamic Transportation Optimization BEGINNER INTERMEDIATE

Level up your Dynamic Transportation Optimization skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: dynamic transportation optimization for competitive exams, how to solve dynamic transportation optimization, dynamic transportation optimization tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Worksheet 4 of 10 (33% complete)

Question 1

A passenger travels from Denver to Atlanta via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Denver -> Dallas:** - F1-1: Dep 8:00 AM, Arr 9:42 AM - F1-2: Dep 11:00 AM, Arr 12:42 PM - F1-3: Dep 2:00 PM, Arr 3:42 PM **Flights Dallas -> Atlanta:** - F2-1: Dep 11:30 AM, Arr 2:57 PM - F2-2: Dep 1:30 PM, Arr 4:57 PM - F2-3: Dep 3:30 PM, Arr 6:57 PM What is the minimum total elapsed time for the journey from Denver to Atlanta?
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 417 minutes is achieved by combining F1-1 (Arr: 9:42 AM) and F2-1 (Dep: 11:30 AM, Arr: 2:57 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 57 minutes.

Question 2

A passenger travels from Dallas to Denver via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 7:00 AM, Arr 9:12 AM - F1-2: Dep 10:00 AM, Arr 12:12 PM - F1-3: Dep 1:00 PM, Arr 3:12 PM **Flights Atlanta -> Denver:** - F2-1: Dep 1:30 PM, Arr 5:06 PM - F2-2: Dep 3:30 PM, Arr 7:06 PM - F2-3: Dep 5:30 PM, Arr 9:06 PM What is the minimum total elapsed time for the journey from Dallas to Denver?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 426 minutes is achieved by combining F1-2 (Arr: 12:12 PM) and F2-1 (Dep: 1:30 PM, Arr: 5:06 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 6 minutes.

Question 3

A passenger travels from Dallas to Atlanta via Miami. The minimum layover at Miami is **90 minutes**. **Flights Dallas -> Miami:** - F1-1: Dep 7:00 AM, Arr 8:36 AM - F1-2: Dep 10:00 AM, Arr 11:36 AM - F1-3: Dep 1:00 PM, Arr 2:36 PM **Flights Miami -> Atlanta:** - F2-1: Dep 1:00 PM, Arr 4:30 PM - F2-2: Dep 3:00 PM, Arr 6:30 PM - F2-3: Dep 5:00 PM, Arr 8:30 PM What is the minimum total elapsed time for the journey from Dallas to Atlanta?
1. Timeline Approach & Constraint Application (Minimum Layover: 90 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 450 minutes is achieved by combining F1-3 (Arr: 2:36 PM) and F2-3 (Dep: 5:00 PM, Arr: 8:30 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 30 minutes.

Question 4

A passenger travels from Miami to Dallas via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Miami -> Atlanta:** - F1-1: Dep 7:30 AM, Arr 9:07 AM - F1-2: Dep 10:30 AM, Arr 12:07 PM - F1-3: Dep 1:30 PM, Arr 3:07 PM **Flights Atlanta -> Dallas:** - F2-1: Dep 11:00 AM, Arr 2:50 PM - F2-2: Dep 1:00 PM, Arr 4:50 PM - F2-3: Dep 3:00 PM, Arr 6:50 PM What is the minimum total elapsed time for the journey from Miami to Dallas?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 380 minutes is achieved by combining F1-2 (Arr: 12:07 PM) and F2-2 (Dep: 1:00 PM, Arr: 4:50 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 20 minutes.

Question 5

A passenger travels from Dallas to Atlanta via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 7:30 AM, Arr 10:12 AM - F1-2: Dep 10:30 AM, Arr 1:12 PM - F1-3: Dep 1:30 PM, Arr 4:12 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 11:30 AM, Arr 3:28 PM - F2-2: Dep 1:30 PM, Arr 5:28 PM - F2-3: Dep 3:30 PM, Arr 7:28 PM What is the minimum total elapsed time for the journey from Dallas to Atlanta?
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 478 minutes is achieved by combining F1-1 (Arr: 10:12 AM) and F2-1 (Dep: 11:30 AM, Arr: 3:28 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 58 minutes.

Question 6

A passenger travels from Atlanta to Denver via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Atlanta -> Dallas:** - F1-1: Dep 9:00 AM, Arr 11:33 AM - F1-2: Dep 12:00 PM, Arr 2:33 PM - F1-3: Dep 3:00 PM, Arr 5:33 PM **Flights Dallas -> Denver:** - F2-1: Dep 10:00 AM, Arr 1:15 PM - F2-2: Dep 12:00 PM, Arr 3:15 PM - F2-3: Dep 2:00 PM, Arr 5:15 PM What is the minimum total elapsed time for the journey from Atlanta to Denver?
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 495 minutes is achieved by combining F1-1 (Arr: 11:33 AM) and F2-3 (Dep: 2:00 PM, Arr: 5:15 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 15 minutes.

Question 7

A passenger travels from Miami to Denver via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 5:30 AM, Arr 8:00 AM - F1-2: Dep 8:30 AM, Arr 11:00 AM - F1-3: Dep 11:30 AM, Arr 2:00 PM **Flights Chicago -> Denver:** - F2-1: Dep 2:30 PM, Arr 5:57 PM - F2-2: Dep 4:30 PM, Arr 7:57 PM - F2-3: Dep 6:30 PM, Arr 9:57 PM What is the minimum total elapsed time for the journey from Miami to Denver?
1. Timeline Approach & Constraint Application (Minimum Layover: 90 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 507 minutes is achieved by combining F1-3 (Arr: 2:00 PM) and F2-2 (Dep: 4:30 PM, Arr: 7:57 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 27 minutes.

Question 8

A passenger travels from Atlanta to Chicago via Denver. The minimum layover at Denver is **60 minutes**. **Flights Atlanta -> Denver:** - F1-1: Dep 9:00 AM, Arr 11:13 AM - F1-2: Dep 12:00 PM, Arr 2:13 PM - F1-3: Dep 3:00 PM, Arr 5:13 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:00 PM, Arr 3:06 PM - F2-2: Dep 3:00 PM, Arr 5:06 PM - F2-3: Dep 5:00 PM, Arr 7:06 PM What is the minimum total elapsed time for the journey from Atlanta to Chicago?
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 366 minutes is achieved by combining F1-1 (Arr: 11:13 AM) and F2-1 (Dep: 1:00 PM, Arr: 3:06 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 6 minutes.

Question 9

A passenger travels from Dallas to Chicago via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 9:30 AM, Arr 12:13 PM - F1-2: Dep 12:30 PM, Arr 3:13 PM - F1-3: Dep 3:30 PM, Arr 6:13 PM **Flights Atlanta -> Chicago:** - F2-1: Dep 12:30 PM, Arr 2:51 PM - F2-2: Dep 2:30 PM, Arr 4:51 PM - F2-3: Dep 4:30 PM, Arr 6:51 PM What is the minimum total elapsed time for the journey from Dallas to Chicago?
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 381 minutes is achieved by combining F1-2 (Arr: 3:13 PM) and F2-3 (Dep: 4:30 PM, Arr: 6:51 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 21 minutes.

Question 10

A passenger travels from Chicago to Dallas via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 9:00 AM, Arr 11:18 AM - F1-2: Dep 12:00 PM, Arr 2:18 PM - F1-3: Dep 3:00 PM, Arr 5:18 PM **Flights Atlanta -> Dallas:** - F2-1: Dep 11:30 AM, Arr 3:10 PM - F2-2: Dep 1:30 PM, Arr 5:10 PM - F2-3: Dep 3:30 PM, Arr 7:10 PM What is the minimum total elapsed time for the journey from Chicago 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 430 minutes is achieved by combining F1-2 (Arr: 2:18 PM) and F2-3 (Dep: 3:30 PM, Arr: 7:10 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 10 minutes.

Question 11

A passenger travels from Chicago to Miami via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 9:30 AM, Arr 11:15 AM - F1-2: Dep 12:30 PM, Arr 2:15 PM - F1-3: Dep 3:30 PM, Arr 5:15 PM **Flights Atlanta -> Miami:** - F2-1: Dep 10:30 AM, Arr 1:06 PM - F2-2: Dep 12:30 PM, Arr 3:06 PM - F2-3: Dep 2:30 PM, Arr 5:06 PM What is the minimum total elapsed time for the journey from Chicago to Miami?
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 336 minutes is achieved by combining F1-1 (Arr: 11:15 AM) and F2-2 (Dep: 12:30 PM, Arr: 3:06 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 36 minutes.

Question 12

A passenger travels from Atlanta to Chicago via Miami. The minimum layover at Miami is **60 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 7:30 AM, Arr 9:41 AM - F1-2: Dep 10:30 AM, Arr 12:41 PM - F1-3: Dep 1:30 PM, Arr 3:41 PM **Flights Miami -> Chicago:** - F2-1: Dep 11:00 AM, Arr 1:18 PM - F2-2: Dep 1:00 PM, Arr 3:18 PM - F2-3: Dep 3:00 PM, Arr 5:18 PM What is the minimum total elapsed time for the journey from Atlanta to Chicago?
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 348 minutes is achieved by combining F1-1 (Arr: 9:41 AM) and F2-1 (Dep: 11:00 AM, Arr: 1:18 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 48 minutes.

Question 13

A passenger travels from Dallas to Chicago via Denver. The minimum layover at Denver is **90 minutes**. **Flights Dallas -> Denver:** - F1-1: Dep 5:30 AM, Arr 8:11 AM - F1-2: Dep 8:30 AM, Arr 11:11 AM - F1-3: Dep 11:30 AM, Arr 2:11 PM **Flights Denver -> Chicago:** - F2-1: Dep 10:00 AM, Arr 1:42 PM - F2-2: Dep 12:00 PM, Arr 3:42 PM - F2-3: Dep 2:00 PM, Arr 5:42 PM What is the minimum total elapsed time for the journey from Dallas to Chicago?
1. Timeline Approach & Constraint Application (Minimum Layover: 90 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 492 minutes is achieved by combining F1-1 (Arr: 8:11 AM) and F2-1 (Dep: 10:00 AM, Arr: 1:42 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 12 minutes.

Question 14

A passenger travels from Chicago to Denver via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Chicago -> Dallas:** - F1-1: Dep 7:00 AM, Arr 9:07 AM - F1-2: Dep 10:00 AM, Arr 12:07 PM - F1-3: Dep 1:00 PM, Arr 3:07 PM **Flights Dallas -> Denver:** - F2-1: Dep 1:00 PM, Arr 3:02 PM - F2-2: Dep 3:00 PM, Arr 5:02 PM - F2-3: Dep 5:00 PM, Arr 7:02 PM What is the minimum total elapsed time for the journey from Chicago to Denver?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 302 minutes is achieved by combining F1-2 (Arr: 12:07 PM) and F2-1 (Dep: 1:00 PM, Arr: 3:02 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 2 minutes.

Question 15

A passenger travels from Atlanta to Miami via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 7:30 AM, Arr 9:19 AM - F1-2: Dep 10:30 AM, Arr 12:19 PM - F1-3: Dep 1:30 PM, Arr 3:19 PM **Flights Chicago -> Miami:** - F2-1: Dep 12:00 PM, Arr 2:26 PM - F2-2: Dep 2:00 PM, Arr 4:26 PM - F2-3: Dep 4:00 PM, Arr 6:26 PM What is the minimum total elapsed time for the journey from Atlanta to Miami?
1. Timeline Approach & Constraint Application (Minimum Layover: 90 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 356 minutes is achieved by combining F1-2 (Arr: 12:19 PM) and F2-2 (Dep: 2:00 PM, Arr: 4:26 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 56 minutes.

Question 16

A passenger travels from Chicago to Denver via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Chicago -> Dallas:** - F1-1: Dep 6:00 AM, Arr 8:15 AM - F1-2: Dep 9:00 AM, Arr 11:15 AM - F1-3: Dep 12:00 PM, Arr 2:15 PM **Flights Dallas -> Denver:** - F2-1: Dep 10:30 AM, Arr 1:00 PM - F2-2: Dep 12:30 PM, Arr 3:00 PM - F2-3: Dep 2:30 PM, Arr 5:00 PM What is the minimum total elapsed time for the journey from Chicago to Denver?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 F1-2 (Arr: 11:15 AM) and F2-2 (Dep: 12:30 PM, Arr: 3:00 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 0 minutes.

Question 17

A passenger travels from Atlanta to Chicago via Denver. The minimum layover at Denver is **90 minutes**. **Flights Atlanta -> Denver:** - F1-1: Dep 9:30 AM, Arr 11:54 AM - F1-2: Dep 12:30 PM, Arr 2:54 PM - F1-3: Dep 3:30 PM, Arr 5:54 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:30 PM, Arr 4:39 PM - F2-2: Dep 3:30 PM, Arr 6:39 PM - F2-3: Dep 5:30 PM, Arr 8:39 PM What is the minimum total elapsed time for the journey from Atlanta to Chicago?
1. Timeline Approach & Constraint Application (Minimum Layover: 90 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 429 minutes is achieved by combining F1-1 (Arr: 11:54 AM) and F2-1 (Dep: 1:30 PM, Arr: 4:39 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 9 minutes.

Question 18

A passenger travels from Atlanta to Chicago via Miami. The minimum layover at Miami is **45 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 8:30 AM, Arr 11:06 AM - F1-2: Dep 11:30 AM, Arr 2:06 PM - F1-3: Dep 2:30 PM, Arr 5:06 PM **Flights Miami -> Chicago:** - F2-1: Dep 1:30 PM, Arr 4:43 PM - F2-2: Dep 3:30 PM, Arr 6:43 PM - F2-3: Dep 5:30 PM, Arr 8:43 PM What is the minimum total elapsed time for the journey from Atlanta to Chicago?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 433 minutes is achieved by combining F1-2 (Arr: 2:06 PM) and F2-2 (Dep: 3:30 PM, Arr: 6:43 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 13 minutes.

Question 19

A passenger travels from Chicago to Miami via Denver. The minimum layover at Denver is **45 minutes**. **Flights Chicago -> Denver:** - F1-1: Dep 6:30 AM, Arr 9:23 AM - F1-2: Dep 9:30 AM, Arr 12:23 PM - F1-3: Dep 12:30 PM, Arr 3:23 PM **Flights Denver -> Miami:** - F2-1: Dep 10:00 AM, Arr 12:59 PM - F2-2: Dep 12:00 PM, Arr 2:59 PM - F2-3: Dep 2:00 PM, Arr 4:59 PM What is the minimum total elapsed time for the journey from Chicago to Miami?
1. Timeline Approach & Constraint Application (Minimum Layover: 45 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 449 minutes is achieved by combining F1-2 (Arr: 12:23 PM) and F2-3 (Dep: 2:00 PM, Arr: 4:59 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 29 minutes.

Question 20

A passenger travels from Denver to Miami via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 6:00 AM, Arr 7:52 AM - F1-2: Dep 9:00 AM, Arr 10:52 AM - F1-3: Dep 12:00 PM, Arr 1:52 PM **Flights Chicago -> Miami:** - F2-1: Dep 2:30 PM, Arr 4:59 PM - F2-2: Dep 4:30 PM, Arr 6:59 PM - F2-3: Dep 6:30 PM, Arr 8:59 PM What is the minimum total elapsed time for the journey from Denver to Miami?
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 419 minutes is achieved by combining F1-3 (Arr: 1:52 PM) and F2-2 (Dep: 4:30 PM, Arr: 6:59 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 59 minutes.
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