In a letter to Baijal, Kejriwal said he and his ministers were not aware of these task forces.
In an apparent attack on the bureaucrats who have been at loggerheads with the AAP government, Kejriwal said officers would not be able to handle the issue and that the people and experts should be involved to find out an effective solution to traffic woes.
The chief minister's letter comes a day after Baijal wrote to him saying he was already handling the issue, responding to Kejriwal's note to the chief secretary seeking a list of major traffic bottlenecks.
"In fact, I and my ministers did not know about this (task forces), else I would not have directed the transport commissioner separately about it," Kejriwal said in the letter.
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He said that Delhiites were fed up with traffic problem.
"I meet around 100 people every day. There is a proverb in English, 'the wearer knows where the shoe pinches'. People know about their problems and their solution very well. Sometime, people can tell about effective solution," he said.
Yesterday, Baijal had informed Kejriwal that he had formed six task forces in January to identify congested corridors and suggest short, medium and long term solutions.
The LG's office had said Baijal took suo motu cognisance of media reports that Kejriwal had sought a list of major traffic bottlenecks from the chief secretary by August 15.
This was for the first time Baijal's office has issued a statement on the chief minister's letter on any issue.