Eric, Ian, Nathaniel and Carlos 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.
Eric takes 2 minutes,
Ian takes 4 minutes,
Nathaniel takes 7 minutes,
Carlos takes 8 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Nathaniel and Carlos walk through the tunnel together it will take 8 minutes, If Nathaniel then walks the torch back through the tunnel a total of 15 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Eric and Ian walk through taking 4 minutes
Eric walks back with the torch taking 2 minutes [6 minutes total]
Nathaniel and Carlos walk through taking 8 minutes [14 minutes total]
Ian walks back with the torch taking 4 minutes [18 minutes total]
Eric and Ian walk through taking 4 minutes [22 minutes total]
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Casio Classwiz Calculator
There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).
As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!
This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...
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.