Gavin, Conner, Aiden and Isaac 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.
Gavin takes 2 minutes,
Conner takes 4 minutes,
Aiden takes 7 minutes,
Isaac takes 9 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Aiden and Isaac walk through the tunnel together it will take 9 minutes, If Aiden then walks the torch back through the tunnel a total of 16 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Gavin and Conner walk through taking 4 minutes
Gavin walks back with the torch taking 2 minutes [6 minutes total]
Aiden and Isaac walk through taking 9 minutes [15 minutes total]
Conner walks back with the torch taking 4 minutes [19 minutes total]
Gavin and Conner walk through taking 4 minutes [23 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.
Here is the URL which will take them to Tran Tunnels, a mathematical adventure.