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Dynamic Transportation Optimization - Absolute-Beginner Level: core concept mastery Dynamic Transportation Optimization ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Dynamic Transportation Optimization - a key topic in Scheduling. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master dynamic transportation optimization problems, dynamic transportation optimization reasoning questions, and dynamic transportation optimization practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Dynamic Transportation Optimization
Worksheet 1 of 10 (0% complete)

Question 1

A passenger travels from Dallas to Chicago via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 8:00 AM, Arr 10:23 AM - F1-2: Dep 11:00 AM, Arr 1:23 PM - F1-3: Dep 2:00 PM, Arr 4:23 PM **Flights Atlanta -> Chicago:** - F2-1: Dep 12:30 PM, Arr 3:22 PM - F2-2: Dep 2:30 PM, Arr 5:22 PM - F2-3: Dep 4:30 PM, Arr 7:22 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 382 minutes is achieved by combining F1-2 (Arr: 1:23 PM) and F2-2 (Dep: 2:30 PM, Arr: 5:22 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 22 minutes.

Question 2

A passenger travels from Miami to Dallas via Denver. The minimum layover at Denver is **45 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 5:00 AM, Arr 7:07 AM - F1-2: Dep 8:00 AM, Arr 10:07 AM - F1-3: Dep 11:00 AM, Arr 1:07 PM **Flights Denver -> Dallas:** - F2-1: Dep 10:00 AM, Arr 12:01 PM - F2-2: Dep 12:00 PM, Arr 2:01 PM - F2-3: Dep 2:00 PM, Arr 4:01 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 301 minutes is achieved by combining F1-3 (Arr: 1:07 PM) and F2-3 (Dep: 2:00 PM, Arr: 4:01 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 1 minutes.

Question 3

A passenger travels from Dallas to Miami via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 6:30 AM, Arr 8:13 AM - F1-2: Dep 9:30 AM, Arr 11:13 AM - F1-3: Dep 12:30 PM, Arr 2:13 PM **Flights Chicago -> Miami:** - F2-1: Dep 2:30 PM, Arr 5:50 PM - F2-2: Dep 4:30 PM, Arr 7:50 PM - F2-3: Dep 6:30 PM, Arr 9:50 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 440 minutes is achieved by combining F1-3 (Arr: 2:13 PM) and F2-2 (Dep: 4:30 PM, Arr: 7:50 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 20 minutes.

Question 4

A passenger travels from Atlanta to Chicago via Denver. The minimum layover at Denver is **60 minutes**. **Flights Atlanta -> Denver:** - F1-1: Dep 6:00 AM, Arr 8:13 AM - F1-2: Dep 9:00 AM, Arr 11:13 AM - F1-3: Dep 12:00 PM, Arr 2:13 PM **Flights Denver -> Chicago:** - F2-1: Dep 10:30 AM, Arr 2:19 PM - F2-2: Dep 12:30 PM, Arr 4:19 PM - F2-3: Dep 2:30 PM, Arr 6:19 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 439 minutes is achieved by combining F1-2 (Arr: 11:13 AM) and F2-2 (Dep: 12:30 PM, Arr: 4:19 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 19 minutes.

Question 5

A passenger travels from Miami to Chicago via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Miami -> Dallas:** - F1-1: Dep 6:30 AM, Arr 9:05 AM - F1-2: Dep 9:30 AM, Arr 12:05 PM - F1-3: Dep 12:30 PM, Arr 3:05 PM **Flights Dallas -> Chicago:** - F2-1: Dep 1:30 PM, Arr 5:12 PM - F2-2: Dep 3:30 PM, Arr 7:12 PM - F2-3: Dep 5:30 PM, Arr 9:12 PM What is the minimum total elapsed time for the journey from Miami 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 462 minutes is achieved by combining F1-2 (Arr: 12:05 PM) and F2-1 (Dep: 1:30 PM, Arr: 5:12 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 42 minutes.

Question 6

A passenger travels from Denver to Atlanta via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 8:00 AM, Arr 9:53 AM - F1-2: Dep 11:00 AM, Arr 12:53 PM - F1-3: Dep 2:00 PM, Arr 3:53 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 1:30 PM, Arr 4:06 PM - F2-2: Dep 3:30 PM, Arr 6:06 PM - F2-3: Dep 5:30 PM, Arr 8:06 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 366 minutes is achieved by combining F1-3 (Arr: 3:53 PM) and F2-3 (Dep: 5:30 PM, Arr: 8:06 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 7

A passenger travels from Denver to Miami via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Denver -> Atlanta:** - F1-1: Dep 5:00 AM, Arr 7:52 AM - F1-2: Dep 8:00 AM, Arr 10:52 AM - F1-3: Dep 11:00 AM, Arr 1:52 PM **Flights Atlanta -> Miami:** - F2-1: Dep 12:00 PM, Arr 3:14 PM - F2-2: Dep 2:00 PM, Arr 5:14 PM - F2-3: Dep 4:00 PM, Arr 7:14 PM What is the minimum total elapsed time for the journey from Denver 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 434 minutes is achieved by combining F1-2 (Arr: 10:52 AM) and F2-1 (Dep: 12:00 PM, Arr: 3:14 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 14 minutes.

Question 8

A passenger travels from Denver to Dallas via Chicago. The minimum layover at Chicago is **45 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 6:30 AM, Arr 8:48 AM - F1-2: Dep 9:30 AM, Arr 11:48 AM - F1-3: Dep 12:30 PM, Arr 2:48 PM **Flights Chicago -> Dallas:** - F2-1: Dep 10:00 AM, Arr 12:35 PM - F2-2: Dep 12:00 PM, Arr 2:35 PM - F2-3: Dep 2:00 PM, Arr 4:35 PM What is the minimum total elapsed time for the journey from Denver 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 365 minutes is achieved by combining F1-1 (Arr: 8:48 AM) and F2-1 (Dep: 10:00 AM, Arr: 12:35 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 5 minutes.

Question 9

A passenger travels from Dallas to Chicago via Atlanta. The minimum layover at Atlanta is **90 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 6:00 AM, Arr 7:40 AM - F1-2: Dep 9:00 AM, Arr 10:40 AM - F1-3: Dep 12:00 PM, Arr 1:40 PM **Flights Atlanta -> Chicago:** - F2-1: Dep 1:00 PM, Arr 3:47 PM - F2-2: Dep 3:00 PM, Arr 5:47 PM - F2-3: Dep 5:00 PM, Arr 7:47 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 407 minutes is achieved by combining F1-2 (Arr: 10:40 AM) and F2-1 (Dep: 1:00 PM, Arr: 3:47 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 47 minutes.

Question 10

A passenger travels from Dallas to Miami via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 7:00 AM, Arr 9:49 AM - F1-2: Dep 10:00 AM, Arr 12:49 PM - F1-3: Dep 1:00 PM, Arr 3:49 PM **Flights Chicago -> Miami:** - F2-1: Dep 2:30 PM, Arr 5:14 PM - F2-2: Dep 4:30 PM, Arr 7:14 PM - F2-3: Dep 6:30 PM, Arr 9:14 PM What is the minimum total elapsed time for the journey from Dallas 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 434 minutes is achieved by combining F1-2 (Arr: 12:49 PM) and F2-1 (Dep: 2:30 PM, Arr: 5:14 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 14 minutes.

Question 11

A passenger travels from Miami to Denver via Chicago. The minimum layover at Chicago is **45 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 8:30 AM, Arr 10:23 AM - F1-2: Dep 11:30 AM, Arr 1:23 PM - F1-3: Dep 2:30 PM, Arr 4:23 PM **Flights Chicago -> Denver:** - F2-1: Dep 10:30 AM, Arr 12:31 PM - F2-2: Dep 12:30 PM, Arr 2:31 PM - F2-3: Dep 2:30 PM, Arr 4:31 PM What is the minimum total elapsed time for the journey from Miami 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 301 minutes is achieved by combining F1-2 (Arr: 1:23 PM) and F2-3 (Dep: 2:30 PM, Arr: 4:31 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 1 minutes.

Question 12

A passenger travels from Atlanta to Chicago via Miami. The minimum layover at Miami is **90 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 7:00 AM, Arr 9:54 AM - F1-2: Dep 10:00 AM, Arr 12:54 PM - F1-3: Dep 1:00 PM, Arr 3:54 PM **Flights Miami -> Chicago:** - F2-1: Dep 12:00 PM, Arr 2:21 PM - F2-2: Dep 2:00 PM, Arr 4:21 PM - F2-3: Dep 4:00 PM, Arr 6:21 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 441 minutes is achieved by combining F1-1 (Arr: 9:54 AM) and F2-1 (Dep: 12:00 PM, Arr: 2:21 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 21 minutes.

Question 13

A passenger travels from Chicago to Denver via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 9:30 AM, Arr 12:04 PM - F1-2: Dep 12:30 PM, Arr 3:04 PM - F1-3: Dep 3:30 PM, Arr 6:04 PM **Flights Atlanta -> Denver:** - F2-1: Dep 11:30 AM, Arr 1:34 PM - F2-2: Dep 1:30 PM, Arr 3:34 PM - F2-3: Dep 3:30 PM, Arr 5:34 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 364 minutes is achieved by combining F1-1 (Arr: 12:04 PM) and F2-2 (Dep: 1:30 PM, Arr: 3:34 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 14

A passenger travels from Denver to Miami via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 8:30 AM, Arr 10:29 AM - F1-2: Dep 11:30 AM, Arr 1:29 PM - F1-3: Dep 2:30 PM, Arr 4:29 PM **Flights Chicago -> Miami:** - F2-1: Dep 12:30 PM, Arr 2:34 PM - F2-2: Dep 2:30 PM, Arr 4:34 PM - F2-3: Dep 4:30 PM, Arr 6:34 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 304 minutes is achieved by combining F1-2 (Arr: 1:29 PM) and F2-2 (Dep: 2:30 PM, Arr: 4:34 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 4 minutes.

Question 15

A passenger travels from Denver to Miami via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Denver -> Chicago:** - F1-1: Dep 6:30 AM, Arr 8:34 AM - F1-2: Dep 9:30 AM, Arr 11:34 AM - F1-3: Dep 12:30 PM, Arr 2:34 PM **Flights Chicago -> Miami:** - F2-1: Dep 2:00 PM, Arr 5:16 PM - F2-2: Dep 4:00 PM, Arr 7:16 PM - F2-3: Dep 6:00 PM, Arr 9:16 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 406 minutes is achieved by combining F1-3 (Arr: 2:34 PM) and F2-2 (Dep: 4:00 PM, Arr: 7:16 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 46 minutes.

Question 16

A passenger travels from Chicago to Denver via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Chicago -> Dallas:** - F1-1: Dep 6:30 AM, Arr 8:14 AM - F1-2: Dep 9:30 AM, Arr 11:14 AM - F1-3: Dep 12:30 PM, Arr 2:14 PM **Flights Dallas -> Denver:** - F2-1: Dep 11:30 AM, Arr 3:02 PM - F2-2: Dep 1:30 PM, Arr 5:02 PM - F2-3: Dep 3:30 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: 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 392 minutes is achieved by combining F1-3 (Arr: 2:14 PM) and F2-3 (Dep: 3:30 PM, Arr: 7:02 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 32 minutes.

Question 17

A passenger travels from Atlanta to Chicago via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Atlanta -> Dallas:** - F1-1: Dep 7:00 AM, Arr 9:44 AM - F1-2: Dep 10:00 AM, Arr 12:44 PM - F1-3: Dep 1:00 PM, Arr 3:44 PM **Flights Dallas -> Chicago:** - F2-1: Dep 2:00 PM, Arr 5:39 PM - F2-2: Dep 4:00 PM, Arr 7:39 PM - F2-3: Dep 6:00 PM, Arr 9:39 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 459 minutes is achieved by combining F1-2 (Arr: 12:44 PM) and F2-1 (Dep: 2:00 PM, Arr: 5:39 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 39 minutes.

Question 18

A passenger travels from Dallas to Chicago via Denver. The minimum layover at Denver is **45 minutes**. **Flights Dallas -> Denver:** - F1-1: Dep 9:00 AM, Arr 10:49 AM - F1-2: Dep 12:00 PM, Arr 1:49 PM - F1-3: Dep 3:00 PM, Arr 4:49 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:00 PM, Arr 4:54 PM - F2-2: Dep 3:00 PM, Arr 6:54 PM - F2-3: Dep 5:00 PM, Arr 8:54 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 414 minutes is achieved by combining F1-2 (Arr: 1:49 PM) and F2-2 (Dep: 3:00 PM, Arr: 6:54 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 54 minutes.

Question 19

A passenger travels from Dallas to Denver via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 6:30 AM, Arr 8:15 AM - F1-2: Dep 9:30 AM, Arr 11:15 AM - F1-3: Dep 12:30 PM, Arr 2:15 PM **Flights Atlanta -> Denver:** - F2-1: Dep 10:00 AM, Arr 12:08 PM - F2-2: Dep 12:00 PM, Arr 2:08 PM - F2-3: Dep 2:00 PM, Arr 4:08 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 278 minutes is achieved by combining F1-2 (Arr: 11:15 AM) and F2-2 (Dep: 12:00 PM, Arr: 2:08 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 4 hours and 38 minutes.

Question 20

A passenger travels from Denver to Miami via Dallas. The minimum layover at Dallas is **90 minutes**. **Flights Denver -> Dallas:** - F1-1: Dep 6:30 AM, Arr 9:10 AM - F1-2: Dep 9:30 AM, Arr 12:10 PM - F1-3: Dep 12:30 PM, Arr 3:10 PM **Flights Dallas -> Miami:** - F2-1: Dep 2:30 PM, Arr 4:33 PM - F2-2: Dep 4:30 PM, Arr 6:33 PM - F2-3: Dep 6:30 PM, Arr 8:33 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 423 minutes is achieved by combining F1-2 (Arr: 12:10 PM) and F2-1 (Dep: 2:30 PM, Arr: 4:33 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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