Hannah, Samantha, Ava and Ashley 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.
Hannah takes 3 minutes,
Samantha takes 6 minutes,
Ava takes 10 minutes,
Ashley takes 12 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Ava and Ashley walk through the tunnel together it will take 12 minutes, If Ava then walks the torch back through the tunnel a total of 22 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Hannah and Samantha walk through taking 6 minutes
Hannah walks back with the torch taking 3 minutes [9 minutes total]
Ava and Ashley walk through taking 12 minutes [21 minutes total]
Samantha walks back with the torch taking 6 minutes [27 minutes total]
Hannah and Samantha walk through taking 6 minutes [33 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.