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Bridge of Destiny Math Riddle

_Elsa_
_Elsa_ Posts: 36,989 Sweet Legend
edited January 2022 in Discussions

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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