Math riddle worksheet titled "The Bridge of Destiny Math Riddle" featuring four travelers on a bridge with a moonlit background.

To find the shortest time for all four travelers to cross the bridge, we need to be smart about who crosses together. The goal is to minimize the time spent on return trips and ensure the two slowest people (Warrior and Wizard) cross together so their slow times don't add up separately.

Here are the crossing times:
- Sorceress: 1 minute
- Archer: 2 minutes
- Warrior: 5 minutes
- Wizard: 8 minutes

Step-by-Step Solution:

1. First Crossing: Send the two fastest people across first. This gets them to the other side quickly and allows one of them to bring the gem back fast.
* Crossers: Sorceress (1 min) and Archer (2 min).
* Time taken: 2 minutes (they move at the slower person's pace).
* *Total Time: 2 minutes.*
* *Status:* Sorceress and Archer are on the far side. Warrior and Wizard are on the start side.

2. First Return: Someone needs to bring the Destiny Gem back. We should send the fastest person available on the far side.
* Returner: Sorceress (1 min).
* Time taken: 1 minute.
* *Total Time: 2 + 1 = 3 minutes.*
* *Status:* Archer is on the far side. Sorceress, Warrior, and Wizard are on the start side.

3. Second Crossing: Now, send the two slowest people across together. This is the key trick! If they go separately, it takes 5 + 8 = 13 minutes just for them. If they go together, it only takes 8 minutes.
* Crossers: Warrior (5 min) and Wizard (8 min).
* Time taken: 8 minutes.
* *Total Time: 3 + 8 = 11 minutes.*
* *Status:* Archer, Warrior, and Wizard are on the far side. Sorceress is on the start side.

4. Second Return: Someone needs to bring the gem back again so the last person can cross. The fastest person on the far side is the Archer.
* Returner: Archer (2 min).
* Time taken: 2 minutes.
* *Total Time: 11 + 2 = 13 minutes.*
* *Status:* Warrior and Wizard are on the far side. Sorceress and Archer are on the start side.

5. Final Crossing: The two fastest people (who are now both on the start side) cross together one last time.
* Crossers: Sorceress (1 min) and Archer (2 min).
* Time taken: 2 minutes.
* *Total Time: 13 + 2 = 15 minutes.*
* *Status:* Everyone is on the far side.

Verification:
- Step 1: S & A cross (2 mins). Total: 2.
- Step 2: S returns (1 min). Total: 3.
- Step 3: W & Z cross (8 mins). Total: 11.
- Step 4: A returns (2 mins). Total: 13.
- Step 5: S & A cross (2 mins). Total: 15.

All travelers have crossed safely.

Final Answer: 15 minutes