The tourists enjoyed one of their best days of the tour, moving to 211/3 in just 45 overs before umpires ushered the teams off for bad light.
Despite multiple glimpses of sunlight, rain and cloud cover into the afternoon led to an early call of stumps as the five-match ICC World Test Championship series inches closer to a conclusion.
Brook (78 not out from 92 balls) chanced his luck on multiple occasions with the Australians targeting the right-hander with the short ball, though his stay for the day was capped off with a big six over deep backward square leg to go with six fours.
By contrast, it was a vintage Joe Root (72 not out from 103 balls) who played an innings of touch and esteemed stroke play, hitting eight boundaries.