Calculate Delayed Arrival Time - Problem
You're managing a railway station's arrival board and need to calculate when delayed trains will actually arrive. Given a train's original arrival time in 24-hour format (0-23 hours) and the delay duration in hours, determine the actual arrival time.
The challenge is handling time wraparound - if a train scheduled to arrive at 22:00 is delayed by 5 hours, it will arrive at 03:00 the next day. Your task is to implement the clock arithmetic correctly.
Input: Two positive integers - arrivalTime (0-23) and delayedTime (any positive integer)
Output: An integer representing the final arrival time in 24-hour format (0-23)
Example: If a train arrives at hour 15 with a 8-hour delay, it arrives at hour (15 + 8) % 24 = 23
Input & Output
example_1.py — Basic Case
$
Input:
arrivalTime = 15, delayedTime = 5
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Output:
20
💡 Note:
Train originally arriving at 15:00 (3 PM) with 5-hour delay arrives at 20:00 (8 PM). Simple addition: 15 + 5 = 20.
example_2.py — Wraparound Case
$
Input:
arrivalTime = 13, delayedTime = 11
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Output:
0
💡 Note:
Train arriving at 13:00 (1 PM) with 11-hour delay: (13 + 11) % 24 = 24 % 24 = 0. Arrives at midnight (00:00).
example_3.py — Multiple Day Delay
$
Input:
arrivalTime = 18, delayedTime = 64
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Output:
10
💡 Note:
Large delay spans multiple days: (18 + 64) % 24 = 82 % 24 = 10. After 64 hours (2 days + 16 hours), arrives at 10:00 AM.
Constraints
- 1 ≤ arrivalTime ≤ 24
- 1 ≤ delayedTime ≤ 104
- Note: arrivalTime is in 24-hour format where 1 represents 01:00, 24 represents 00:00 (midnight)
Visualization
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Understanding the Visualization
1
Original Time
Start with the train's scheduled arrival time on a 24-hour clock
2
Add Delay
Add the delay hours to the original time - this might exceed 24
3
Apply Modulo
Use modulo 24 to wrap around the clock face and get final time
4
Result
The remainder gives us the actual arrival time in 24-hour format
Key Takeaway
🎯 Key Insight: Modular arithmetic with 24 automatically handles the cyclical nature of time, making complex time calculations simple and efficient.
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Explanation
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