Autumn, Melanie, Aaliyah and Gracie 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.
Autumn takes 3 minutes,
Melanie takes 5 minutes,
Aaliyah takes 8 minutes,
Gracie takes 11 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Aaliyah and Gracie walk through the tunnel together it will take 11 minutes, If Aaliyah then walks the torch back through the tunnel a total of 19 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Autumn and Melanie walk through taking 5 minutes
Autumn walks back with the torch taking 3 minutes [8 minutes total]
Aaliyah and Gracie walk through taking 11 minutes [19 minutes total]
Melanie walks back with the torch taking 5 minutes [24 minutes total]
Autumn and Melanie walk through taking 5 minutes [29 minutes total]
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