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? 
Notes: 
Example:
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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Previous Day  This starter is for 8 February  Next Day
33 minutes:
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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