Riley, Haley, Gabrielle and Nicole 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.
Riley takes 3 minutes,
Haley takes 5 minutes,
Gabrielle takes 8 minutes,
Nicole takes 10 minutes.
What is the least amount of time for all four to walk through the tunnel?
If Gabrielle and Nicole walk through the tunnel together it will take 10 minutes, If Gabrielle then walks the torch back through the tunnel a total of 18 minutes will have passed. Continue till all four are at the other end of the tunnel.
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Riley and Haley walk through taking 5 minutes
Riley walks back with the torch taking 3 minutes [8 minutes total]
Gabrielle and Nicole walk through taking 10 minutes [18 minutes total]
Haley walks back with the torch taking 5 minutes [23 minutes total]
Riley and Haley walk through taking 5 minutes [28 minutes total]
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