A woman who exploded into a racist rant on a Wednesday-night train, screaming obscenities such as "it’s my f---ing country" and referring to fellow passengers as "black c---s," was drunk at the time, police have confirmed.

A passenger on the same train, 27-year-old teacher Dan Clark, said the woman was ‘‘obviously intoxicated’’ and was holding a beer can and drinking something as she ranted.

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Videos of the tirade, posted online by commuters who had been travelling in the same carriage, shows the woman screaming at a dark-skinned man and saying "it’s my f---ing country" and "this is what us original Aussies fought for ... to keep you black c---s out."