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Five People on Two Bridges (Posted on 2005-06-25) Difficulty: 2 of 5
In the puzzle Four people on a Bridge we met four people who needed to cross a bridge at night. In this puzzle, there are five people who must cross two sequential bridges at night. As in the original puzzle, there are some hindrances:

The bridges can only support two people crossing at a time.

Each person has a different speed in which they can cross: 10 minutes, 7 minutes, 5 minutes, 2 minutes, and 1 minute.

They have only two flashlights to share among them.

What is the shortest amount of time it will take for all five people to cross both bridges?

See The Solution Submitted by Erik O.    
Rating: 3.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts my solution | Comment 12 of 41 |

I think I understood the problem based off the 4 version one... my solution doesn't allow for illuminating the bridge though as some have suggested.

 

10&7 starts off together at the speed of the slowest of them which is 10 minute for 1 bridge. By the time they get off first bridge and start on the second bridge (10 minute), 5&1 starts off the first bridge and make it in 5 minutes, 1 goes back for (6 minutes total), while 5 waits between the two bridges, and brings 2 back with him for a total of 8 minutes)... at that point 10&7 are still not off the second bridge so they have to wait another 2 mins.

 

The point is since they have to wait for 10&7 to be off second bridge, the 8 minutes they took to get off first bridge (1&2&5) is meaningless... so it takes them another 8 minutes to all get off second bridge post-time when 10&7 got off second bridge.

 

Total, 10+10+8=28


  Posted by David Grenier on 2005-06-26 02:09:24
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