Jonathan, Samuel, Christian and Noah 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.
Jonathan takes 3 minutes,
Samuel takes 6 minutes,
Christian takes 10 minutes,
Noah takes 13 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Christian and Noah walk through the tunnel together it will take 13 minutes, If Christian then walks the torch back through the tunnel a total of 23 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Jonathan and Samuel walk through taking 6 minutes
Jonathan walks back with the torch taking 3 minutes [9 minutes total]
Christian and Noah walk through taking 13 minutes [22 minutes total]
Samuel walks back with the torch taking 6 minutes [28 minutes total]
Jonathan and Samuel walk through taking 6 minutes [34 minutes total]
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