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Interview Question: Crossing the Bridge in 17 min, Puzzle

by Kamal Rawat on Dec 16, 2011

You have a Bridge that will collapse in 17 minutes & 4 people who takes 1, 2, 5 & 10 min resp. to cross. There is only one torch and only 2 people can walk at a time on bridge. How will they all cross?
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Today's Question:

There is a bridge, which will collapse in 17 minutes. 4 people (A, B, C and D) are standing on one side of the bridge and want to cross it before it collapses. There are few restrictions, as below:

    • It's dark, so you can't cross the bridge without a torch(flashlight), and there is only one torch.
    • The bridge is only big/strong enough for 2 people to cross at a time.
    • All 4 people walk at different speeds.
      • A takes 1 minute 
      • B take 2 minutes 
      • C take 5 minutes, and 
      • D takes 10 minutes 

to cross the bridge.

    • When two people cross the bridge together (sharing the torch), they both walk at the speed of slower person.

How can they all get across before the bridge blows up (i.e cross the bridge in 17 minutes)?

Solution:

The solution to the above problem is as follows: 
 
MoveTime
A & B Cross with torch2
A returned with torch1
C & D Cross with torch10
B returned with torch2
A & B Cross with torch2


Total17

Hence all, A,B,C and D will cross the Bridge in 17 minutes. 

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