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Puzzle: bridge and flashlight

 
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Free World



Joined: 01 Apr 2005
Location: Drake Hotel

PostPosted: Mon Oct 30, 2006 11:43 am    Post subject: Puzzle: bridge and flashlight Reply with quote

There are 4 bandmates who need to cross a bridge to get to a concert.

Person A takes 1 minute to walk the length of the bridge.
Person B takes 2 minutes to walk the length of the bridge.
Person C takes 5 minutes to walk the length of the bridge.
Person D takes 10 minutes to walk the length of the bridge.

Only 2 people can cross at a time.

They need to take a flashlight with them each trip and they only have one, so someone will always need to cross back with the flashlight for the others.

What is the shortest time all 4 will be on the other side?
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jajdude



Joined: 18 Jan 2003

PostPosted: Mon Oct 30, 2006 12:30 pm    Post subject: Reply with quote

If it's less than 19 minutes I don't know.
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Free World



Joined: 01 Apr 2005
Location: Drake Hotel

PostPosted: Mon Oct 30, 2006 5:31 pm    Post subject: Reply with quote

yep, less than 19
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The Chewbacca Defense



Joined: 29 May 2004
Location: The ROK and a hard place

PostPosted: Mon Oct 30, 2006 6:31 pm    Post subject: Reply with quote

17 minutes????
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Sleepy in Seoul



Joined: 15 May 2004
Location: Going in ever decreasing circles until I eventually disappear up my own fundament - in NZ

PostPosted: Mon Oct 30, 2006 6:35 pm    Post subject: Reply with quote

Is it less than 17 minutes?
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The Chewbacca Defense



Joined: 29 May 2004
Location: The ROK and a hard place

PostPosted: Mon Oct 30, 2006 6:38 pm    Post subject: Reply with quote

the way i worked it out it cant be any less than 17 minutes

Damn I wish someone would tell me if im right

this is driving me nuts!!!!!!
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Free World



Joined: 01 Apr 2005
Location: Drake Hotel

PostPosted: Mon Oct 30, 2006 7:32 pm    Post subject: Reply with quote

You're right Chewbacca! Good Job!
I couldn't get them across in less than 19.
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The Chewbacca Defense



Joined: 29 May 2004
Location: The ROK and a hard place

PostPosted: Mon Oct 30, 2006 7:44 pm    Post subject: Reply with quote

The way i figured it out was this

1) First A and B go across-------------2 minutes
2) B goes back across ----------------4 minutes
3) C and D go across-----------------14 minutes
4) A goes back -----------------------15 minutes
5) A and B go back ------------------17 minutes
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jajdude



Joined: 18 Jan 2003

PostPosted: Mon Oct 30, 2006 8:51 pm    Post subject: Reply with quote

Well done. That was bothering me too. Looks so easy once you see it.
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RACETRAITOR



Joined: 24 Oct 2005
Location: Seoul, South Korea

PostPosted: Mon Oct 30, 2006 10:00 pm    Post subject: Reply with quote

Wow, I never would've figured that out. That's a really good one.
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