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Crossing the Bridge

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Alice, Brian, Carol and David are on an outdoors team building course. They have to cross a bridge in 17 minutes. The bridge will collapse if there are more than two people on it at the same time. It is dark and it is too dangerous to cross the bridge without a torch. There is only one torch.

Alice can cross the bridge in 1 minute. The others are wounded or injured to varying degrees which means that it takes:

  • Brian 2 minutes to cross the bridge;
  • Carol 5 minutes to cross the bridge;
  • David 10 minutes to cross the bridge.
If there is more than one person on the bridge, the bridge can only be crossed at the speed of the slowest person. How can they cross the bridge in 17 minutes?

Solution

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