The basic Na- Sch model modified by the assumption that for each car an individual velocity limit is assigned, is investigated in the aim to find the best supplementary rule allowing the jammed traffic to move with velocity larger than the slowest driving vehicle. The choice of suplementary rules is motivated by observations of typical Polish drivers behavior. By simulations, it is checked: (a) a speed limit of the slowest car is changed and \or (b) a speed limit of a car with zero gap behind is increased . It is shown that both rules increase the mean velocity; (b) rule influences the character of congested traffic -- cars move though at low velocity.

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