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brain teaser


Thews40
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There are four people who need to cross a bridge at night. The bridge is only wide enough for two people to cross at once. There is only one flashlight for the entire group. When two people cross, they must cross at the slower member's speed. All four people must cross the bridge in 17 minutes, since the bridge will collapse in exactly that amount of time. Here are the times each member takes to cross the bridge:

Person A: 1 minute

Person B: 2 minutes

Person C: 5 minutes

Person D: 10 minutes

 

So, if Person A and C crossed the bridge initially, 5 minutes would elapse, because Person C takes 5 minutes to cross. Then, Person A would have to come back to the other side of the bridge, taking another minute, or six minutes total. Now, if Person A and D crossed the bridge next, it would take them 10 minutes, totaling to 16 minutes. If A came back, it would take yet another minute, totally 17... the bridge would collapse with A and B on the wrong side. How can all four people get across the bridge within 17 minutes?

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There are four people who need to cross a bridge at night. The bridge is only wide enough for two people to cross at once. There is only one flashlight for the entire group. When two people cross, they must cross at the slower member's speed. All four people must cross the bridge in 17 minutes, since the bridge will collapse in exactly that amount of time. Here are the times each member takes to cross the bridge:

Person A: 1 minute

Person B: 2 minutes

Person C: 5 minutes

Person D: 10 minutes

 

So, if Person A and C crossed the bridge initially, 5 minutes would elapse, because Person C takes 5 minutes to cross. Then, Person A would have to come back to the other side of the bridge, taking another minute, or six minutes total. Now, if Person A and D crossed the bridge next, it would take them 10 minutes, totaling to 16 minutes. If A came back, it would take yet another minute, totally 17... the bridge would collapse with A and B on the wrong side. How can all four people get across the bridge within 17 minutes?

 

A and B go over together - 2 minutes elapsed

A runs back and gives the flashlight to C - 3 minutes elapsed

C and D cross together - 13 minutes elapsed

B runs back with the flashlight - 15 minutes elapsed

A and B go over together - 17 minutes elapsed

 

:D

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The bridge is only wide enough for 2 across, but nothing says there can't be 2 rows of 2 each, with the back row right behind the first so all can see the light from the flashlight., so all 4 together can cross the bridge in 10 minutes.

 

:D

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Person A is obviously a crack head. He uses the flashlight to crush the skulls of Persons B, C and D... he then runs back and forth across the bridge 8 times before he jumps to his own death.

 

Now THAT is some out of the box thinking!

 

Person A --------- > :D

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The bridge is only wide enough for 2 across, but nothing says there can't be 2 rows of 2 each, with the back row right behind the first so all can see the light from the flashlight., so all 4 together can cross the bridge in 10 minutes.

 

:D

 

:D

 

I was just about to post the same thing.

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Why exactly is a flash light needed to cross the bridge in the first place? And is sky the old fart that can't get across the bridge in under 10 minutes? If it is sky he can't see anyway and the flash light would only be for show.

 

Why couldn't they walk single file? Or as BJ suggests two sets of two?

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The bridge is only wide enough for 2 across, but nothing says there can't be 2 rows of 2 each, with the back row right behind the first so all can see the light from the flashlight., so all 4 together can cross the bridge in 10 minutes.

 

:D

good out-of-the-box :D input (C+)... I know you figured it out anyway which would have given you an A. I wish I could tell you where this question was actually posed... let's just assume you are in a pressure situation and had two minutes :wacko: to answer this correctly :D ... would you crack ;) under pressure? :D

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