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Bridge of Destiny Math Riddle
Calling all math lovers! Some of you might have already done this so please hold off your answers so that others can try to figure it out. You can drop hints though.
Four travelers on a quest must cross a fragile bridge to continue their journey.
No individuals can cross the bridge without the Destiny Gem close by, which, fortunately, they have in their possession.
If at any time, more than two individuals walk on the bridge, it will collapse.
Each traveler moves at a different pace and it will take each traveler the following amount of time to cross the bridge:
Sorceress: 1 minute, Archer: 2 minutes, Warrior: 5 minutes, Wizard: 8 minutes
When two travelers cross the bridge together, they must move at the slower person's pace.
What is the shortest time needed for all four travelers to safely cross the bridge?
Remember…
No more than two individuals can cross the bridge at the same time (otherwise, it will collapse)
Individuals must stay together when crossing the bridge and be in possession of the Destiny Gem
All four travelers must get safely across
No tricks spells or throwing the Destiny Gem allowed!
Ready for a Bonus Riddle?
Wait! Our travelers need your help yet again. Can you solve the bonus riddle?
The River and The Torch
Further along their journey, the four travelers must cross a river at night.
Crossing the river after dark is only possible with a torch, so the travelers have traded the Destiny Gem for a Torch that will provide light for 17 minutes after it is lit.
Only two travelers can cross the river at one time and they must have the torch in their possession in order to see where they are going.
Each traveler takes the following amount of time to cross the river
Wizard: 10 Minutes, Sorceress: 5 Minutes, Archer: 2 Minutes, Warrior: 1 Minute
How can all four travelers cross the river before the torch burns out?
If you want to see both answers please look inside the spoiler box for the video link.
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Thanks @Elsa and @Diamond Lim for the tag. Her is my answer:
First, the Sorceress and the Archer cross with the Destiny Gem. This takes 2 Minutes
Second, the Sorceress returns with the destiny Gem, this takes 1 Minute.
Third, the Warrior and the Wizard cross with the destiny Gem, this takes 8 Minutes.
Fourth, the Archer returns with the destiny Gem, this takes 2 Minutes
Finally, the Archer and the sorceress cross the bridge, this takes 2 minutes.
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15 minutes total time.
Bonus:
First, the Warrior and Archer cross the river with the torch. This takes 2 Minutes.
Second, the Warrior returns with the torch, this takes 1 minute.
Third, the Wizard and the Sorceress take the torch and cross the river. This takes 10 minutes.
Fourth the Archer returns across the river, taking the torch. This takes 2 minutes.
Finally, the Warrior and the Archer cross the river. This takes 2 minutes.
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Total time 17 Minutes.
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Hi @Elsa this is a tricky riddle.
Thanx for the tag @Diamond Lim
1. Sorceress & Archer cross the bridge with the DG (2 minutes)
2. Sorceress returns with the DG (1 minute)
3. Warrior & Wizard cross the bridge with the DG (8 minutes)
4. Archer returns with the DG (2 minutes)
5. Sorceress & Archer cross the bridge with DG (2 minutes)
Total time taken to cross the bridge is 15 minutes.
Bonus riddle
1. Warrior & Archer cross the river with the torch (2 minutes)
2. Warrior returns with the torch (1 minute)
3. Sorceress & Wizard cross the river with the torch (10 minutes)
4. Archer returns with the torch (2 minutes)
5. Warrior & Archer cross the river with the torch (2 minutes)
Total time taken to cross the river is 17 minutes.