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#### River Crossing

The traditional River Crossing challenge. Can you do it in the smallest number of moves?. So far this activity has been accessed 97746 times and nobody yet has earned a Transum Trophy for completing it.

# One Torch Tunnel

Archie, Betsy, Celia and David have to walk through a long dark tunnel. They only have one torch between them so a maximum of two people can go through the tunnel at any one time. Each person takes a different amount of time to get through the tunnel and if two people walk together they must walk at the rate of the slowest.

• A. Archie takes 3 minutes,
• B. Betsy takes 5 minutes,
• C. Celia takes 8 minutes,
• D. David takes 10 minutes.

What is the least amount of time for all four to walk through the tunnel?

Notes:

1. All four begin at the same end of the tunnel.
2. The torch must be walked back through the tunnel by at least one person, it cannot be thrown.
3. The answer is less than 29 minutes!

Example:

If Celia and David walk through the tunnel together it will take 10 minutes, If Celia then walks the torch back through the tunnel a total of 18 minutes will have passed. Continue till all four are at the other end of the tunnel.