Avery, Andrea, Leah and Madeline 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.
Avery takes 2 minutes,
Andrea takes 4 minutes,
Leah takes 7 minutes,
Madeline takes 10 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Leah and Madeline walk through the tunnel together it will take 10 minutes, If Leah then walks the torch back through the tunnel a total of 17 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Avery and Andrea walk through taking 4 minutes
Avery walks back with the torch taking 2 minutes [6 minutes total]
Leah and Madeline walk through taking 10 minutes [16 minutes total]
Andrea walks back with the torch taking 4 minutes [20 minutes total]
Avery and Andrea walk through taking 4 minutes [24 minutes total]
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Teacher, do your students have
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Here is the URL which will take them to Tran Tunnels, a mathematical adventure.