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Dynamic Transportation Optimization - Expert Level: conceptual clarity Dynamic Transportation Optimization EXPERT

This skill evaluation ⚡ worksheet focuses on Dynamic Transportation Optimization - a key topic in Scheduling. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master dynamic transportation optimization ssc cgl, dynamic transportation optimization reasoning tricks, and fast dynamic transportation optimization solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Dynamic Transportation Optimization
Worksheet 9 of 10 (88% complete)

Question 1

A passenger travels from Denver to Miami via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Denver -> Dallas:** - F1-1: Dep 6:30 AM, Arr 8:40 AM - F1-2: Dep 9:30 AM, Arr 11:40 AM - F1-3: Dep 12:30 PM, Arr 2:40 PM **Flights Dallas -> Miami:** - F2-1: Dep 1:30 PM, Arr 5:23 PM - F2-2: Dep 3:30 PM, Arr 7:23 PM - F2-3: Dep 5:30 PM, Arr 9:23 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 413 minutes is achieved by combining F1-3 (Arr: 2:40 PM) and F2-2 (Dep: 3:30 PM, Arr: 7:23 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 53 minutes.

Question 2

A passenger travels from Dallas to Denver via Miami. The minimum layover at Miami is **60 minutes**. **Flights Dallas -> Miami:** - F1-1: Dep 9:30 AM, Arr 12:00 PM - F1-2: Dep 12:30 PM, Arr 3:00 PM - F1-3: Dep 3:30 PM, Arr 6:00 PM **Flights Miami -> Denver:** - F2-1: Dep 12:30 PM, Arr 3:33 PM - F2-2: Dep 2:30 PM, Arr 5:33 PM - F2-3: Dep 4:30 PM, Arr 7:33 PM What is the minimum total elapsed time for the journey from Dallas 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 423 minutes is achieved by combining F1-2 (Arr: 3:00 PM) and F2-3 (Dep: 4:30 PM, Arr: 7:33 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 3

A passenger travels from Denver to Chicago via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Denver -> Dallas:** - F1-1: Dep 6:30 AM, Arr 8:45 AM - F1-2: Dep 9:30 AM, Arr 11:45 AM - F1-3: Dep 12:30 PM, Arr 2:45 PM **Flights Dallas -> Chicago:** - F2-1: Dep 12:30 PM, Arr 4:01 PM - F2-2: Dep 2:30 PM, Arr 6:01 PM - F2-3: Dep 4:30 PM, Arr 8:01 PM What is the minimum total elapsed time for the journey from Denver 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 451 minutes is achieved by combining F1-3 (Arr: 2:45 PM) and F2-3 (Dep: 4:30 PM, Arr: 8:01 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 31 minutes.

Question 4

A passenger travels from Chicago to Miami via Dallas. The minimum layover at Dallas is **90 minutes**. **Flights Chicago -> Dallas:** - F1-1: Dep 5:30 AM, Arr 7:10 AM - F1-2: Dep 8:30 AM, Arr 10:10 AM - F1-3: Dep 11:30 AM, Arr 1:10 PM **Flights Dallas -> Miami:** - F2-1: Dep 12:30 PM, Arr 4:05 PM - F2-2: Dep 2:30 PM, Arr 6:05 PM - F2-3: Dep 4:30 PM, Arr 8:05 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 455 minutes is achieved by combining F1-2 (Arr: 10:10 AM) and F2-1 (Dep: 12:30 PM, Arr: 4:05 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 35 minutes.

Question 5

A passenger travels from Miami to Atlanta via Denver. The minimum layover at Denver is **90 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 5:00 AM, Arr 7:08 AM - F1-2: Dep 8:00 AM, Arr 10:08 AM - F1-3: Dep 11:00 AM, Arr 1:08 PM **Flights Denver -> Atlanta:** - F2-1: Dep 1:00 PM, Arr 3:46 PM - F2-2: Dep 3:00 PM, Arr 5:46 PM - F2-3: Dep 5:00 PM, Arr 7:46 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 406 minutes is achieved by combining F1-3 (Arr: 1:08 PM) and F2-2 (Dep: 3:00 PM, Arr: 5:46 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 6

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 9:50 AM - F1-2: Dep 10:30 AM, Arr 12:50 PM - F1-3: Dep 1:30 PM, Arr 3:50 PM **Flights Chicago -> Dallas:** - F2-1: Dep 1:30 PM, Arr 4:05 PM - F2-2: Dep 3:30 PM, Arr 6:05 PM - F2-3: Dep 5:30 PM, Arr 8:05 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 395 minutes is achieved by combining F1-3 (Arr: 3:50 PM) and F2-3 (Dep: 5:30 PM, Arr: 8:05 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 35 minutes.

Question 7

A passenger travels from Atlanta to Denver via Miami. The minimum layover at Miami is **60 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 9:30 AM, Arr 11:56 AM - F1-2: Dep 12:30 PM, Arr 2:56 PM - F1-3: Dep 3:30 PM, Arr 5:56 PM **Flights Miami -> Denver:** - F2-1: Dep 10:30 AM, Arr 12:39 PM - F2-2: Dep 12:30 PM, Arr 2:39 PM - F2-3: Dep 2:30 PM, Arr 4:39 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 429 minutes is achieved by combining F1-1 (Arr: 11:56 AM) and F2-3 (Dep: 2:30 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 8

A passenger travels from Chicago to Denver via Atlanta. The minimum layover at Atlanta is **90 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 5:00 AM, Arr 6:46 AM - F1-2: Dep 8:00 AM, Arr 9:46 AM - F1-3: Dep 11:00 AM, Arr 12:46 PM **Flights Atlanta -> Denver:** - F2-1: Dep 11:30 AM, Arr 2:00 PM - F2-2: Dep 1:30 PM, Arr 4:00 PM - F2-3: Dep 3:30 PM, Arr 6:00 PM What is the minimum total elapsed time for the journey from Chicago 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 360 minutes is achieved by combining F1-2 (Arr: 9:46 AM) and F2-1 (Dep: 11:30 AM, Arr: 2:00 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 9

A passenger travels from Miami to Dallas via Denver. The minimum layover at Denver is **60 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 7:30 AM, Arr 10:22 AM - F1-2: Dep 10:30 AM, Arr 1:22 PM - F1-3: Dep 1:30 PM, Arr 4:22 PM **Flights Denver -> Dallas:** - F2-1: Dep 2:00 PM, Arr 4:03 PM - F2-2: Dep 4:00 PM, Arr 6:03 PM - F2-3: Dep 6:00 PM, Arr 8:03 PM What is the minimum total elapsed time for the journey from Miami 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 393 minutes is achieved by combining F1-3 (Arr: 4:22 PM) and F2-3 (Dep: 6:00 PM, Arr: 8:03 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 33 minutes.

Question 10

A passenger travels from Atlanta to Chicago via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Atlanta -> Dallas:** - 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 Dallas -> Chicago:** - F2-1: Dep 11:30 AM, Arr 2:47 PM - F2-2: Dep 1:30 PM, Arr 4:47 PM - F2-3: Dep 3:30 PM, Arr 6:47 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 407 minutes is achieved by combining F1-2 (Arr: 2:18 PM) and F2-3 (Dep: 3:30 PM, Arr: 6:47 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 11

A passenger travels from Miami to Denver via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 6:30 AM, Arr 9:20 AM - F1-2: Dep 9:30 AM, Arr 12:20 PM - F1-3: Dep 12:30 PM, Arr 3:20 PM **Flights Chicago -> Denver:** - F2-1: Dep 10:30 AM, Arr 2:09 PM - F2-2: Dep 12:30 PM, Arr 4:09 PM - F2-3: Dep 2:30 PM, Arr 6:09 PM What is the minimum total elapsed time for the journey from Miami 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 459 minutes is achieved by combining F1-1 (Arr: 9:20 AM) and F2-1 (Dep: 10:30 AM, Arr: 2:09 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 12

A passenger travels from Chicago to Denver via Miami. The minimum layover at Miami is **45 minutes**. **Flights Chicago -> Miami:** - F1-1: Dep 7:30 AM, Arr 9:11 AM - F1-2: Dep 10:30 AM, Arr 12:11 PM - F1-3: Dep 1:30 PM, Arr 3:11 PM **Flights Miami -> Denver:** - F2-1: Dep 11:00 AM, Arr 1:13 PM - F2-2: Dep 1:00 PM, Arr 3:13 PM - F2-3: Dep 3:00 PM, Arr 5:13 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 283 minutes is achieved by combining F1-2 (Arr: 12:11 PM) and F2-2 (Dep: 1:00 PM, Arr: 3:13 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 4 hours and 43 minutes.

Question 13

A passenger travels from Miami to Dallas via Denver. The minimum layover at Denver is **90 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 6:30 AM, Arr 8:59 AM - F1-2: Dep 9:30 AM, Arr 11:59 AM - F1-3: Dep 12:30 PM, Arr 2:59 PM **Flights Denver -> Dallas:** - F2-1: Dep 1:30 PM, Arr 4:34 PM - F2-2: Dep 3:30 PM, Arr 6:34 PM - F2-3: Dep 5:30 PM, Arr 8:34 PM What is the minimum total elapsed time for the journey from Miami to Dallas?
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 424 minutes is achieved by combining F1-2 (Arr: 11:59 AM) and F2-1 (Dep: 1:30 PM, Arr: 4:34 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 4 minutes.

Question 14

A passenger travels from Atlanta to Miami via Chicago. The minimum layover at Chicago is **90 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 8:00 AM, Arr 10:29 AM - F1-2: Dep 11:00 AM, Arr 1:29 PM - F1-3: Dep 2:00 PM, Arr 4:29 PM **Flights Chicago -> Miami:** - F2-1: Dep 12:30 PM, Arr 4:12 PM - F2-2: Dep 2:30 PM, Arr 6:12 PM - F2-3: Dep 4:30 PM, Arr 8:12 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 492 minutes is achieved by combining F1-1 (Arr: 10:29 AM) and F2-1 (Dep: 12:30 PM, Arr: 4:12 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 15

A passenger travels from Miami to Atlanta via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 6:00 AM, Arr 8:35 AM - F1-2: Dep 9:00 AM, Arr 11:35 AM - F1-3: Dep 12:00 PM, Arr 2:35 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 1:00 PM, Arr 4:43 PM - F2-2: Dep 3:00 PM, Arr 6:43 PM - F2-3: Dep 5:00 PM, Arr 8:43 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 463 minutes is achieved by combining F1-2 (Arr: 11:35 AM) and F2-1 (Dep: 1:00 PM, Arr: 4:43 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 7 hours and 43 minutes.

Question 16

A passenger travels from Atlanta to Denver via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 6:30 AM, Arr 8:01 AM - F1-2: Dep 9:30 AM, Arr 11:01 AM - F1-3: Dep 12:30 PM, Arr 2:01 PM **Flights Chicago -> Denver:** - F2-1: Dep 2:30 PM, Arr 6:09 PM - F2-2: Dep 4:30 PM, Arr 8:09 PM - F2-3: Dep 6:30 PM, Arr 10:09 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 459 minutes is achieved by combining F1-3 (Arr: 2:01 PM) and F2-2 (Dep: 4:30 PM, Arr: 8:09 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 17

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 7:40 AM - F1-2: Dep 8:30 AM, Arr 10:40 AM - F1-3: Dep 11:30 AM, Arr 1:40 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:00 PM, Arr 3:37 PM - F2-2: Dep 3:00 PM, Arr 5:37 PM - F2-3: Dep 5:00 PM, Arr 7:37 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 427 minutes is achieved by combining F1-2 (Arr: 10:40 AM) and F2-1 (Dep: 1:00 PM, Arr: 3:37 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 18

A passenger travels from Miami to Denver via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Miami -> Atlanta:** - F1-1: Dep 7:00 AM, Arr 9:41 AM - F1-2: Dep 10:00 AM, Arr 12:41 PM - F1-3: Dep 1:00 PM, Arr 3:41 PM **Flights Atlanta -> Denver:** - F2-1: Dep 2:30 PM, Arr 6:00 PM - F2-2: Dep 4:30 PM, Arr 8:00 PM - F2-3: Dep 6:30 PM, Arr 10:00 PM What is the minimum total elapsed time for the journey from Miami 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 480 minutes is achieved by combining F1-2 (Arr: 12:41 PM) and F2-1 (Dep: 2:30 PM, Arr: 6:00 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 0 minutes.

Question 19

A passenger travels from Dallas to Atlanta via Miami. The minimum layover at Miami is **90 minutes**. **Flights Dallas -> Miami:** - F1-1: Dep 6:30 AM, Arr 8:33 AM - F1-2: Dep 9:30 AM, Arr 11:33 AM - F1-3: Dep 12:30 PM, Arr 2:33 PM **Flights Miami -> Atlanta:** - F2-1: Dep 12:00 PM, Arr 3:53 PM - F2-2: Dep 2:00 PM, Arr 5:53 PM - F2-3: Dep 4:00 PM, Arr 7:53 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 503 minutes is achieved by combining F1-2 (Arr: 11:33 AM) and F2-2 (Dep: 2:00 PM, Arr: 5:53 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 23 minutes.

Question 20

A passenger travels from Chicago to Denver via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 8:00 AM, Arr 10:57 AM - F1-2: Dep 11:00 AM, Arr 1:57 PM - F1-3: Dep 2:00 PM, Arr 4:57 PM **Flights Atlanta -> Denver:** - F2-1: Dep 1:30 PM, Arr 3:38 PM - F2-2: Dep 3:30 PM, Arr 5:38 PM - F2-3: Dep 5:30 PM, Arr 7:38 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 398 minutes is achieved by combining F1-2 (Arr: 1:57 PM) and F2-2 (Dep: 3:30 PM, Arr: 5:38 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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