Jack, Caleb, Justin and Austin 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.
Jack takes 3 minutes, Caleb takes 6 minutes, Justin takes 10 minutes, Austin takes 13 minutes. What is the least amount of time for all four to walk through the tunnel? 
Notes: 
Example:
If Justin and Austin walk through the tunnel together it will take 13
minutes, If Justin 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.
Topics: Starter  Logic  Problem Solving  Puzzles
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Previous Day  This starter is for 8 February  Next Day
34 minutes:
Jack and Caleb walk through taking 6 minutes
Jack walks back with the torch taking 3 minutes [9 minutes total]
Justin and Austin walk through taking 13 minutes [22 minutes total]
Caleb walks back with the torch taking 6 minutes [28 minutes total]
Jack and Caleb walk through taking 6 minutes [34 minutes total]
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