Pipe A, B, and C together can fill the tank in 30 hours where pipe C can empty the tank in 90 hours then find in how many hours tank will be filled when A and B work together and A, B and C work together alternatively. Starting from when A and B together fills the tank.

1
88 + 2/3 hours 
2
89 + 2/3 hours
3
102 + 2/3 hours
4
100 + 2/3 hours
5
None of these

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