Jordan, Gavin, Conner and Aiden 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.
Jordan takes 3 minutes, Gavin takes 4 minutes, Conner takes 6 minutes, Aiden takes 7 minutes. What is the least amount of time for all four to walk through the tunnel? 
Notes: 
Example:
If Conner and Aiden walk through the tunnel together it will take 7
minutes, If Conner then walks the torch back through the tunnel a total of 13 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
22 minutes:
Jordan and Gavin walk through taking 4 minutes
Jordan walks back with the torch taking 3 minutes [7 minutes total]
Conner and Aiden walk through taking 7 minutes [14 minutes total]
Gavin walks back with the torch taking 4 minutes [18 minutes total]
Jordan and Gavin walk through taking 4 minutes [22 minutes total]
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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
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