Caden, Blake, Carson and Emily 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.
Caden takes 3 minutes,
Blake takes 4 minutes,
Carson takes 6 minutes,
Emily takes 8 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Carson and Emily walk through the tunnel together it will take 8 minutes, If Carson then walks the torch back through the tunnel a total of 14 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Caden and Blake walk through taking 4 minutes
Caden walks back with the torch taking 3 minutes [7 minutes total]
Carson and Emily walk through taking 8 minutes [15 minutes total]
Blake walks back with the torch taking 4 minutes [19 minutes total]
Caden and Blake walk through taking 4 minutes [23 minutes total]
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