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Master Dynamic Transportation Optimization - Beginner Level Problems Dynamic Transportation Optimization BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Dynamic Transportation Optimization. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing dynamic transportation optimization practice, dynamic transportation optimization for competitive exams, and how to solve dynamic transportation optimization.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 3 of 10 (22% complete)

Question 1

A passenger travels from Atlanta to Denver via Miami. The minimum layover at Miami is **60 minutes**. **Flights Atlanta -> Miami:** - F1-1: Dep 8:30 AM, Arr 10:17 AM - F1-2: Dep 11:30 AM, Arr 1:17 PM - F1-3: Dep 2:30 PM, Arr 4:17 PM **Flights Miami -> Denver:** - F2-1: Dep 1:00 PM, Arr 3:56 PM - F2-2: Dep 3:00 PM, Arr 5:56 PM - F2-3: Dep 5:00 PM, Arr 7:56 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 386 minutes is achieved by combining F1-2 (Arr: 1:17 PM) and F2-2 (Dep: 3:00 PM, Arr: 5:56 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 26 minutes.

Question 2

A passenger travels from Chicago to Dallas via Denver. The minimum layover at Denver is **45 minutes**. **Flights Chicago -> Denver:** - F1-1: Dep 9:30 AM, Arr 11:34 AM - F1-2: Dep 12:30 PM, Arr 2:34 PM - F1-3: Dep 3:30 PM, Arr 5:34 PM **Flights Denver -> Dallas:** - F2-1: Dep 11:00 AM, Arr 1:46 PM - F2-2: Dep 1:00 PM, Arr 3:46 PM - F2-3: Dep 3:00 PM, Arr 5:46 PM What is the minimum total elapsed time for the journey from Chicago 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 376 minutes is achieved by combining F1-1 (Arr: 11:34 AM) and F2-2 (Dep: 1:00 PM, Arr: 3:46 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 3

A passenger travels from Miami to Chicago via Denver. The minimum layover at Denver is **45 minutes**. **Flights Miami -> Denver:** - F1-1: Dep 5:30 AM, Arr 7:55 AM - F1-2: Dep 8:30 AM, Arr 10:55 AM - F1-3: Dep 11:30 AM, Arr 1:55 PM **Flights Denver -> Chicago:** - F2-1: Dep 1:30 PM, Arr 3:39 PM - F2-2: Dep 3:30 PM, Arr 5:39 PM - F2-3: Dep 5:30 PM, Arr 7:39 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 369 minutes is achieved by combining F1-3 (Arr: 1:55 PM) and F2-2 (Dep: 3:30 PM, Arr: 5:39 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 9 minutes.

Question 4

A passenger travels from Denver to Atlanta via Dallas. The minimum layover at Dallas is **60 minutes**. **Flights Denver -> Dallas:** - F1-1: Dep 5:30 AM, Arr 8:22 AM - F1-2: Dep 8:30 AM, Arr 11:22 AM - F1-3: Dep 11:30 AM, Arr 2:22 PM **Flights Dallas -> Atlanta:** - F2-1: Dep 1:00 PM, Arr 4:49 PM - F2-2: Dep 3:00 PM, Arr 6:49 PM - F2-3: Dep 5:00 PM, Arr 8:49 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 499 minutes is achieved by combining F1-2 (Arr: 11:22 AM) and F2-1 (Dep: 1:00 PM, Arr: 4:49 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 8 hours and 19 minutes.

Question 5

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 10:20 AM - F1-2: Dep 11:00 AM, Arr 1:20 PM - F1-3: Dep 2:00 PM, Arr 4:20 PM **Flights Chicago -> Atlanta:** - F2-1: Dep 2:00 PM, Arr 4:00 PM - F2-2: Dep 4:00 PM, Arr 6:00 PM - F2-3: Dep 6:00 PM, Arr 8:00 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 360 minutes is achieved by combining F1-3 (Arr: 4:20 PM) and F2-3 (Dep: 6:00 PM, Arr: 8:00 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 6

A passenger travels from Atlanta to Denver via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Atlanta -> Chicago:** - F1-1: Dep 7:00 AM, Arr 9:42 AM - F1-2: Dep 10:00 AM, Arr 12:42 PM - F1-3: Dep 1:00 PM, Arr 3:42 PM **Flights Chicago -> Denver:** - 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 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 394 minutes is achieved by combining F1-2 (Arr: 12:42 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 6 hours and 34 minutes.

Question 7

A passenger travels from Miami to Atlanta via Dallas. The minimum layover at Dallas is **90 minutes**. **Flights Miami -> Dallas:** - F1-1: Dep 6:00 AM, Arr 8:10 AM - F1-2: Dep 9:00 AM, Arr 11:10 AM - F1-3: Dep 12:00 PM, Arr 2:10 PM **Flights Dallas -> Atlanta:** - F2-1: Dep 10:00 AM, Arr 1:37 PM - F2-2: Dep 12:00 PM, Arr 3:37 PM - F2-3: Dep 2:00 PM, Arr 5:37 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 457 minutes is achieved by combining F1-1 (Arr: 8:10 AM) and F2-1 (Dep: 10:00 AM, Arr: 1:37 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 8

A passenger travels from Dallas to Miami via Atlanta. The minimum layover at Atlanta is **60 minutes**. **Flights Dallas -> Atlanta:** - F1-1: Dep 5:00 AM, Arr 7:50 AM - F1-2: Dep 8:00 AM, Arr 10:50 AM - F1-3: Dep 11:00 AM, Arr 1:50 PM **Flights Atlanta -> Miami:** - F2-1: Dep 11:00 AM, Arr 2:19 PM - F2-2: Dep 1:00 PM, Arr 4:19 PM - F2-3: Dep 3:00 PM, Arr 6:19 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 439 minutes is achieved by combining F1-3 (Arr: 1:50 PM) and F2-3 (Dep: 3:00 PM, Arr: 6:19 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 9

A passenger travels from Dallas to Denver via Chicago. The minimum layover at Chicago is **45 minutes**. **Flights Dallas -> Chicago:** - F1-1: Dep 9:00 AM, Arr 10:36 AM - F1-2: Dep 12:00 PM, Arr 1:36 PM - F1-3: Dep 3:00 PM, Arr 4:36 PM **Flights Chicago -> Denver:** - F2-1: Dep 12:30 PM, Arr 3:19 PM - F2-2: Dep 2:30 PM, Arr 5:19 PM - F2-3: Dep 4:30 PM, Arr 7:19 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 319 minutes is achieved by combining F1-2 (Arr: 1:36 PM) and F2-2 (Dep: 2:30 PM, Arr: 5:19 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 19 minutes.

Question 10

A passenger travels from Miami to Atlanta via Dallas. The minimum layover at Dallas is **45 minutes**. **Flights Miami -> Dallas:** - F1-1: Dep 6:00 AM, Arr 8:30 AM - F1-2: Dep 9:00 AM, Arr 11:30 AM - F1-3: Dep 12:00 PM, Arr 2:30 PM **Flights Dallas -> Atlanta:** - F2-1: Dep 10:00 AM, Arr 12:27 PM - F2-2: Dep 12:00 PM, Arr 2:27 PM - F2-3: Dep 2:00 PM, Arr 4:27 PM What is the minimum total elapsed time for the journey from Miami 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 387 minutes is achieved by combining F1-1 (Arr: 8:30 AM) and F2-1 (Dep: 10:00 AM, Arr: 12:27 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 27 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 7:00 AM, Arr 8:49 AM - F1-2: Dep 10:00 AM, Arr 11:49 AM - F1-3: Dep 1:00 PM, Arr 2:49 PM **Flights Chicago -> Denver:** - F2-1: Dep 2:00 PM, Arr 5:33 PM - F2-2: Dep 4:00 PM, Arr 7:33 PM - F2-3: Dep 6:00 PM, Arr 9:33 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 393 minutes is achieved by combining F1-3 (Arr: 2:49 PM) and F2-2 (Dep: 4:00 PM, Arr: 7:33 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 33 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 6:00 AM, Arr 8:44 AM - F1-2: Dep 9:00 AM, Arr 11:44 AM - F1-3: Dep 12:00 PM, Arr 2:44 PM **Flights Miami -> Denver:** - F2-1: Dep 1:30 PM, Arr 3:58 PM - F2-2: Dep 3:30 PM, Arr 5:58 PM - F2-3: Dep 5:30 PM, Arr 7:58 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 358 minutes is achieved by combining F1-3 (Arr: 2:44 PM) and F2-2 (Dep: 3:30 PM, Arr: 5:58 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 58 minutes.

Question 13

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 11:16 AM - F1-2: Dep 12:30 PM, Arr 2:16 PM - F1-3: Dep 3:30 PM, Arr 5:16 PM **Flights Denver -> Atlanta:** - F2-1: Dep 12:30 PM, Arr 3:29 PM - F2-2: Dep 2:30 PM, Arr 5:29 PM - F2-3: Dep 4:30 PM, Arr 7:29 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 359 minutes is achieved by combining F1-1 (Arr: 11:16 AM) and F2-1 (Dep: 12:30 PM, Arr: 3:29 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 59 minutes.

Question 14

A passenger travels from Miami to Chicago via Atlanta. The minimum layover at Atlanta is **45 minutes**. **Flights Miami -> Atlanta:** - F1-1: Dep 5:30 AM, Arr 8:09 AM - F1-2: Dep 8:30 AM, Arr 11:09 AM - F1-3: Dep 11:30 AM, Arr 2:09 PM **Flights Atlanta -> Chicago:** - F2-1: Dep 10:30 AM, Arr 1:28 PM - F2-2: Dep 12:30 PM, Arr 3:28 PM - F2-3: Dep 2:30 PM, Arr 5:28 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 418 minutes is achieved by combining F1-2 (Arr: 11:09 AM) and F2-2 (Dep: 12:30 PM, Arr: 3:28 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 58 minutes.

Question 15

A passenger travels from Atlanta to Chicago via Denver. The minimum layover at Denver is **90 minutes**. **Flights Atlanta -> Denver:** - 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 Denver -> Chicago:** - 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 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 449 minutes is achieved by combining F1-2 (Arr: 12:44 PM) and F2-2 (Dep: 3:00 PM, Arr: 5:29 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 16

A passenger travels from Miami to Denver via Chicago. The minimum layover at Chicago is **60 minutes**. **Flights Miami -> Chicago:** - F1-1: Dep 7:30 AM, Arr 9:14 AM - F1-2: Dep 10:30 AM, Arr 12:14 PM - F1-3: Dep 1:30 PM, Arr 3:14 PM **Flights Chicago -> 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 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 308 minutes is achieved by combining F1-2 (Arr: 12:14 PM) and F2-1 (Dep: 1:30 PM, Arr: 3:38 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 5 hours and 8 minutes.

Question 17

A passenger travels from Chicago to Denver via Atlanta. The minimum layover at Atlanta is **90 minutes**. **Flights Chicago -> Atlanta:** - F1-1: Dep 7:00 AM, Arr 8:46 AM - F1-2: Dep 10:00 AM, Arr 11:46 AM - F1-3: Dep 1:00 PM, Arr 2:46 PM **Flights Atlanta -> Denver:** - F2-1: Dep 2:00 PM, Arr 4:51 PM - F2-2: Dep 4:00 PM, Arr 6:51 PM - F2-3: Dep 6:00 PM, Arr 8:51 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 411 minutes is achieved by combining F1-2 (Arr: 11:46 AM) and F2-1 (Dep: 2:00 PM, Arr: 4:51 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

3. Final Answer: The minimum elapsed time is 6 hours and 51 minutes.

Question 18

A passenger travels from Chicago to Dallas via Denver. The minimum layover at Denver is **90 minutes**. **Flights Chicago -> Denver:** - F1-1: Dep 7:30 AM, Arr 9:57 AM - F1-2: Dep 10:30 AM, Arr 12:57 PM - F1-3: Dep 1:30 PM, Arr 3:57 PM **Flights Denver -> Dallas:** - F2-1: Dep 1:00 PM, Arr 4:45 PM - F2-2: Dep 3:00 PM, Arr 6:45 PM - F2-3: Dep 5:00 PM, Arr 8:45 PM What is the minimum total elapsed time for the journey from Chicago 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 495 minutes is achieved by combining F1-2 (Arr: 12:57 PM) and F2-2 (Dep: 3:00 PM, Arr: 6:45 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 19

A passenger travels from Atlanta to Denver via Dallas. The minimum layover at Dallas is **90 minutes**. **Flights Atlanta -> Dallas:** - F1-1: Dep 6:00 AM, Arr 8:10 AM - F1-2: Dep 9:00 AM, Arr 11:10 AM - F1-3: Dep 12:00 PM, Arr 2:10 PM **Flights Dallas -> Denver:** - F2-1: Dep 10:00 AM, Arr 12:05 PM - F2-2: Dep 12:00 PM, Arr 2:05 PM - F2-3: Dep 2:00 PM, Arr 4:05 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 365 minutes is achieved by combining F1-1 (Arr: 8:10 AM) and F2-1 (Dep: 10:00 AM, Arr: 12:05 PM).
Total Elapsed Time = Final Arrival Time - Initial Departure Time.

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

Question 20

A passenger travels from Denver to Atlanta via Miami. The minimum layover at Miami is **60 minutes**. **Flights Denver -> Miami:** - F1-1: Dep 5:00 AM, Arr 6:30 AM - F1-2: Dep 8:00 AM, Arr 9:30 AM - F1-3: Dep 11:00 AM, Arr 12:30 PM **Flights Miami -> Atlanta:** - F2-1: Dep 11:30 AM, Arr 2:01 PM - F2-2: Dep 1:30 PM, Arr 4:01 PM - F2-3: Dep 3:30 PM, Arr 6:01 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 301 minutes is achieved by combining F1-3 (Arr: 12:30 PM) and F2-2 (Dep: 1:30 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.
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