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Dynamic Transportation Optimization: Worksheet 6 - Intermediate-Advanced Practice Dynamic Transportation Optimization INTERMEDIATE ADVANCED

Ready to master Dynamic Transportation Optimization? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve dynamic transportation optimization tricks, handle dynamic transportation optimization shortcut methods, and perfect dynamic transportation optimization bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

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Worksheet 6 of 10 (55% complete)

Question 1

A passenger travels from Miami to Denver via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 5:00 AM, Arr 6:55 AM - F1-2: Dep 8:00 AM, Arr 9:55 AM - F1-3: Dep 11:00 AM, Arr 12:55 PM **Flights Chicago -> Denver:** - F2-1: Dep 10:30 AM, Arr 1:23 PM - F2-2: Dep 12:30 PM, Arr 3:23 PM - F2-3: Dep 2:30 PM, Arr 5:23 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 383 minutes is achieved by combining F1-3 (Arr: 12:55 PM) and F2-3 (Dep: 2:30 PM, Arr: 5:23 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 23 minutes.

Question 2

A passenger travels from Atlanta to Dallas via Chicago. The minimum layover at Chicago is **45 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 7:30 AM, Arr 10:23 AM - F1-2: Dep 10:30 AM, Arr 1:23 PM - F1-3: Dep 1:30 PM, Arr 4:23 PM **Flights Chicago -> Dallas:** - F2-1: Dep 10:00 AM, Arr 1:07 PM - F2-2: Dep 12:00 PM, Arr 3:07 PM - F2-3: Dep 2:00 PM, Arr 5:07 PM What is the minimum total elapsed time for the journey from Atlanta 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 457 minutes is achieved by combining F1-1 (Arr: 10:23 AM) and F2-2 (Dep: 12:00 PM, Arr: 3:07 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 37 minutes.

Question 3

A passenger travels from Chicago to Miami via Atlanta. The minimum layover at Atlanta is **90 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 9:00 AM, Arr 11:54 AM - F1-2: Dep 12:00 PM, Arr 2:54 PM - F1-3: Dep 3:00 PM, Arr 5:54 PM **Flights Atlanta -> 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 Chicago 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 446 minutes is achieved by combining F1-1 (Arr: 11:54 AM) 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 7 hours and 26 minutes.

Question 4

A passenger travels from Chicago to Atlanta via Denver. The minimum layover at Denver is **45 minutes**. **Flights Chicago -> Denver:** - F1-1: Dep 9:30 AM, Arr 12:27 PM - F1-2: Dep 12:30 PM, Arr 3:27 PM - F1-3: Dep 3:30 PM, Arr 6:27 PM **Flights Denver -> Atlanta:** - F2-1: Dep 1:00 PM, Arr 3:29 PM - F2-2: Dep 3:00 PM, Arr 5:29 PM - F2-3: Dep 5:00 PM, Arr 7:29 PM What is the minimum total elapsed time for the journey from Chicago to Atlanta?
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 419 minutes is achieved by combining F1-2 (Arr: 3:27 PM) and F2-3 (Dep: 5:00 PM, Arr: 7:29 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 5

A passenger travels from Dallas to Miami via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 7:30 AM, Arr 9:12 AM - F1-2: Dep 10:30 AM, Arr 12:12 PM - F1-3: Dep 1:30 PM, Arr 3:12 PM **Flights Chicago -> Miami:** - F2-1: Dep 2:00 PM, Arr 5:08 PM - F2-2: Dep 4:00 PM, Arr 7:08 PM - F2-3: Dep 6:00 PM, Arr 9:08 PM What is the minimum total elapsed time for the journey from Dallas 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 398 minutes is achieved by combining F1-2 (Arr: 12:12 PM) and F2-1 (Dep: 2:00 PM, Arr: 5:08 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 38 minutes.

Question 6

A passenger travels from Dallas to Chicago via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 5:30 AM, Arr 7:18 AM - F1-2: Dep 8:30 AM, Arr 10:18 AM - F1-3: Dep 11:30 AM, Arr 1:18 PM **Flights Atlanta -> Chicago:** - F2-1: Dep 10:00 AM, Arr 12:14 PM - F2-2: Dep 12:00 PM, Arr 2:14 PM - F2-3: Dep 2:00 PM, Arr 4:14 PM What is the minimum total elapsed time for the journey from Dallas 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 344 minutes is achieved by combining F1-2 (Arr: 10:18 AM) and F2-2 (Dep: 12:00 PM, Arr: 2:14 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 44 minutes.

Question 7

A passenger travels from Dallas to Atlanta via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 5:30 AM, Arr 7:48 AM - F1-2: Dep 8:30 AM, Arr 10:48 AM - F1-3: Dep 11:30 AM, Arr 1:48 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 12:30 PM, Arr 2:47 PM - F2-2: Dep 2:30 PM, Arr 4:47 PM - F2-3: Dep 4:30 PM, Arr 6:47 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 377 minutes is achieved by combining F1-2 (Arr: 10:48 AM) and F2-1 (Dep: 12:30 PM, Arr: 2:47 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 17 minutes.

Question 8

A passenger travels from Miami to Atlanta via Denver. The minimum layover at Denver is **90 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 9:00 AM, Arr 11:09 AM - F1-2: Dep 12:00 PM, Arr 2:09 PM - F1-3: Dep 3:00 PM, Arr 5:09 PM **Flights Denver -> Atlanta:** - F2-1: Dep 2:00 PM, Arr 4:16 PM - F2-2: Dep 4:00 PM, Arr 6:16 PM - F2-3: Dep 6:00 PM, Arr 8:16 PM What is the minimum total elapsed time for the journey from Miami 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 376 minutes is achieved by combining F1-2 (Arr: 2:09 PM) and F2-2 (Dep: 4:00 PM, Arr: 6:16 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 16 minutes.

Question 9

A passenger travels from Denver to Atlanta via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 9:00 AM, Arr 11:34 AM - F1-2: Dep 12:00 PM, Arr 2:34 PM - F1-3: Dep 3:00 PM, Arr 5:34 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 10:00 AM, Arr 12:22 PM - F2-2: Dep 12:00 PM, Arr 2:22 PM - F2-3: Dep 2:00 PM, Arr 4:22 PM What is the minimum total elapsed time for the journey from Denver 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 442 minutes is achieved by combining F1-1 (Arr: 11:34 AM) and F2-3 (Dep: 2:00 PM, Arr: 4:22 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 22 minutes.

Question 10

A passenger travels from Atlanta to Denver via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 5:30 AM, Arr 8:14 AM - F1-2: Dep 8:30 AM, Arr 11:14 AM - F1-3: Dep 11:30 AM, Arr 2:14 PM **Flights Chicago -> Denver:** - F2-1: Dep 1:30 PM, Arr 4:41 PM - F2-2: Dep 3:30 PM, Arr 6:41 PM - F2-3: Dep 5:30 PM, Arr 8:41 PM What is the minimum total elapsed time for the journey from Atlanta 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 491 minutes is achieved by combining F1-2 (Arr: 11:14 AM) and F2-1 (Dep: 1:30 PM, Arr: 4:41 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 11 minutes.

Question 11

A passenger travels from Miami to Chicago via Denver. The minimum layover at Denver is **60 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 6:30 AM, Arr 9:01 AM - F1-2: Dep 9:30 AM, Arr 12:01 PM - F1-3: Dep 12:30 PM, Arr 3:01 PM **Flights Denver -> Chicago:** - F2-1: Dep 11:00 AM, Arr 2:56 PM - F2-2: Dep 1:00 PM, Arr 4:56 PM - F2-3: Dep 3:00 PM, Arr 6:56 PM What is the minimum total elapsed time for the journey from Miami 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 506 minutes is achieved by combining F1-1 (Arr: 9:01 AM) and F2-1 (Dep: 11:00 AM, Arr: 2:56 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 26 minutes.

Question 12

A passenger travels from Dallas to Denver via Miami. The minimum layover at Miami is **45 minutes**. **Flights Dallas -> Miami:** - F1-1: Dep 6:00 AM, Arr 7:53 AM - F1-2: Dep 9:00 AM, Arr 10:53 AM - F1-3: Dep 12:00 PM, Arr 1:53 PM **Flights Miami -> Denver:** - F2-1: Dep 12:30 PM, Arr 3:04 PM - F2-2: Dep 2:30 PM, Arr 5:04 PM - F2-3: Dep 4:30 PM, Arr 7:04 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 364 minutes is achieved by combining F1-2 (Arr: 10:53 AM) and F2-1 (Dep: 12:30 PM, Arr: 3:04 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 4 minutes.

Question 13

A passenger travels from Atlanta to Denver via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 6:00 AM, Arr 8:41 AM - F1-2: Dep 9:00 AM, Arr 11:41 AM - F1-3: Dep 12:00 PM, Arr 2:41 PM **Flights Chicago -> Denver:** - F2-1: Dep 10:30 AM, Arr 2:20 PM - F2-2: Dep 12:30 PM, Arr 4:20 PM - F2-3: Dep 2:30 PM, Arr 6:20 PM What is the minimum total elapsed time for the journey from Atlanta 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 500 minutes is achieved by combining F1-1 (Arr: 8:41 AM) and F2-1 (Dep: 10:30 AM, Arr: 2:20 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 20 minutes.

Question 14

A passenger travels from Miami to Chicago via Denver. The minimum layover at Denver is **90 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 8:00 AM, Arr 10:44 AM - F1-2: Dep 11:00 AM, Arr 1:44 PM - F1-3: Dep 2:00 PM, Arr 4:44 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:00 PM, Arr 3:44 PM - F2-2: Dep 3:00 PM, Arr 5:44 PM - F2-3: Dep 5:00 PM, Arr 7:44 PM What is the minimum total elapsed time for the journey from Miami 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 464 minutes is achieved by combining F1-1 (Arr: 10:44 AM) and F2-1 (Dep: 1:00 PM, Arr: 3:44 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 44 minutes.

Question 15

A passenger travels from Dallas to Denver via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 7:30 AM, Arr 9:45 AM - F1-2: Dep 10:30 AM, Arr 12:45 PM - F1-3: Dep 1:30 PM, Arr 3:45 PM **Flights Atlanta -> Denver:** - F2-1: Dep 10:30 AM, Arr 1:21 PM - F2-2: Dep 12:30 PM, Arr 3:21 PM - F2-3: Dep 2:30 PM, Arr 5:21 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 351 minutes is achieved by combining F1-1 (Arr: 9:45 AM) and F2-1 (Dep: 10:30 AM, Arr: 1:21 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 51 minutes.

Question 16

A passenger travels from Denver to Atlanta via Miami. The minimum layover at Miami is **90 minutes**. **Flights Denver -> Miami:** - F1-1: Dep 6:00 AM, Arr 7:31 AM - F1-2: Dep 9:00 AM, Arr 10:31 AM - F1-3: Dep 12:00 PM, Arr 1:31 PM **Flights Miami -> Atlanta:** - F2-1: Dep 12:00 PM, Arr 2:45 PM - F2-2: Dep 2:00 PM, Arr 4:45 PM - F2-3: Dep 4:00 PM, Arr 6:45 PM What is the minimum total elapsed time for the journey from Denver 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 405 minutes is achieved by combining F1-3 (Arr: 1:31 PM) and F2-3 (Dep: 4:00 PM, Arr: 6:45 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 45 minutes.

Question 17

A passenger travels from Denver to Miami via Atlanta. The minimum layover at Atlanta is **90 minutes**. **Flights Denver -> Atlanta:** - F1-1: Dep 9:30 AM, Arr 11:14 AM - F1-2: Dep 12:30 PM, Arr 2:14 PM - F1-3: Dep 3:30 PM, Arr 5:14 PM **Flights Atlanta -> Miami:** - F2-1: Dep 10:30 AM, Arr 2:10 PM - F2-2: Dep 12:30 PM, Arr 4:10 PM - F2-3: Dep 2:30 PM, Arr 6:10 PM What is the minimum total elapsed time for the journey from Denver 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 520 minutes is achieved by combining F1-1 (Arr: 11:14 AM) and F2-3 (Dep: 2:30 PM, Arr: 6:10 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 40 minutes.

Question 18

A passenger travels from Miami to Atlanta via Denver. The minimum layover at Denver is **60 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 9:30 AM, Arr 11:31 AM - F1-2: Dep 12:30 PM, Arr 2:31 PM - F1-3: Dep 3:30 PM, Arr 5:31 PM **Flights Denver -> Atlanta:** - F2-1: Dep 10:30 AM, Arr 2:05 PM - F2-2: Dep 12:30 PM, Arr 4:05 PM - F2-3: Dep 2:30 PM, Arr 6:05 PM What is the minimum total elapsed time for the journey from Miami 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 515 minutes is achieved by combining F1-1 (Arr: 11:31 AM) and F2-3 (Dep: 2:30 PM, Arr: 6:05 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 35 minutes.

Question 19

A passenger travels from Atlanta to Chicago via Miami. The minimum layover at Miami is **90 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 8:00 AM, Arr 10:01 AM - F1-2: Dep 11:00 AM, Arr 1:01 PM - F1-3: Dep 2:00 PM, Arr 4:01 PM **Flights Miami -> Chicago:** - F2-1: Dep 1:00 PM, Arr 4:28 PM - F2-2: Dep 3:00 PM, Arr 6:28 PM - F2-3: Dep 5:00 PM, Arr 8:28 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 448 minutes is achieved by combining F1-2 (Arr: 1:01 PM) and F2-2 (Dep: 3:00 PM, Arr: 6:28 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 28 minutes.

Question 20

A passenger travels from Dallas to Atlanta via Denver. The minimum layover at Denver is **60 minutes**. **Flights Dallas -> Denver:** - F1-1: Dep 8:30 AM, Arr 10:02 AM - F1-2: Dep 11:30 AM, Arr 1:02 PM - F1-3: Dep 2:30 PM, Arr 4:02 PM **Flights Denver -> Atlanta:** - F2-1: Dep 11:30 AM, Arr 3:22 PM - F2-2: Dep 1:30 PM, Arr 5:22 PM - F2-3: Dep 3:30 PM, Arr 7:22 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 412 minutes is achieved by combining F1-1 (Arr: 10:02 AM) and F2-1 (Dep: 11:30 AM, Arr: 3:22 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 52 minutes.
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