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Calculate the RC time constant for the capacitors. On the slim chance they are equal, the capacitors will always have identical charges. This isn't necessarily a way to find the answer in every case, but it describes an operating principle of the circuit.
Then calculate xc of both capacitors independently.
Then calculate Z for the paths of A and B (pythagoras)
Then calculate I for the paths of A and B
Multiply I(A) with xc (A) to get voltage A referred to N
Multiply I(B) with R3 to get voltage B referred to N
The currents depend on the load connected between A (or B) and N.
But they are unknown. So you can't calculate t now.
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