Joseph, William, David and Nicholas 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.
Joseph takes 3 minutes,
William takes 4 minutes,
David takes 6 minutes,
Nicholas takes 7 minutes.
What is the least amount of time for all four to walk through the tunnel?
If David and Nicholas walk through the tunnel together it will take 7 minutes, If David 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.
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Joseph and William walk through taking 4 minutes
Joseph walks back with the torch taking 3 minutes [7 minutes total]
David and Nicholas walk through taking 7 minutes [14 minutes total]
William walks back with the torch taking 4 minutes [18 minutes total]
Joseph and William walk through taking 4 minutes [22 minutes total]
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Apple iPad Pro
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Math with Bad Drawings
I had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation.
This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great.
Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone.
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.