The hosts continued to dominate and made it count in the 10th minute when Sifiso Myeni latched onto a flicked header by Thulani Hlatshwayo and volleyed his effort past Ayanda to hand Gavin Hunt’s side the lead.
The Clever Boys didn’t have it all their way, with Baroka looking to break down the play in the midfield and play with pace on the counter, and had a shout for a penalty waved away in the 22nd minute as Gift Motupa went down in the area.
Keet did well to keep Motupa out on the half-hour mark after he palmed a shot from range into the attacker’s path.
The half looked to be drawing to a quiet close when Darren Kept was caught out of position trying to defend a ball out of play but was dispossessed. A cross was then played into the area, Claasen’s tackle was deemed illegal and the referee awarded Baroka a penalty.
Motupa stepped up and slotted his spot-kick home low and with pace to level matters at the break.
Hunt looked to influence the second stanza with a change at the break introducing Thobani Mncwango in place of Vincent Pule.
The hosts continued to dictate the pace and dominate the ball while Baroka looked to hit on the counter with pace.
Daylon Claasen, who had been influential in the first half found himself on the end of a crunching challenge by Madubanya and then went into the referee’s book for opting to limp off the pitch instead of using the stretcher. Madubanya also saw yellow for his efforts.
Then in a moment of chaos Abednego Mosiatlhaga did well to beat the Baroka shot-stopper before he was brought down in the area, but the play was waved on as visitors broke on the counter, seconds later the ball was in the back of the Bidvest Wits net but they were to be denied by the near-side linesman who had his flag up for offside.
The half ebbed and flowed and the sides tussled for an advantage, neither creating moments of real threat to the other.
Both coaches looked to force the issue introducing players from the bench. Goodman Mosele replaced Robin Ngalande for Baroka and Rodgers took up the attacking mantle for Wits in place of Lehlohonolo Majoro.
The hosts looked threatening as the clock wound down but were unable to find a winner.
The result sees Bidvest Wits undefeated in eight and two points behind Cape Town City who occupy 7th spot on the Absa Premiership table.