Julia, Destiny, Morgan and Kaitlyn 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.
Julia takes 2 minutes,
Destiny takes 5 minutes,
Morgan takes 9 minutes,
Kaitlyn takes 11 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Morgan and Kaitlyn walk through the tunnel together it will take 11 minutes, If Morgan then walks the torch back through the tunnel a total of 20 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Julia and Destiny walk through taking 5 minutes
Julia walks back with the torch taking 2 minutes [7 minutes total]
Morgan and Kaitlyn walk through taking 11 minutes [18 minutes total]
Destiny walks back with the torch taking 5 minutes [23 minutes total]
Julia and Destiny walk through taking 5 minutes [28 minutes total]
Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter with different numbers and names.
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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.