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Q is the reaction quotient. If Q>K, then the reaction will proceed backwards (reverse reaction), and if Q<K then the reaction will proceed forward. So if Q is greater than K, that means there are more product than reactant, and the reaction will shift left.
Q itself is just a calculation made from the current concentrations or pressures of products and reactants during some point of the reaction. Thus, it does not impact the speed of the reaction. However, you can make observations about the direction a reaction will proceed based on the comparison between Q and K. If Q<K, then more products are needed to reach equilibrium so the forward reaction is favored. Conversely, if Q>K, then the reaction there are too many products for the amount of reactants and the reverse reaction is favored. If you are considering the latter concept (Q>K) with a real world example, such as chemical reactions in a river, and wonder if this means the reaction produced more products than what is necessary for equilibrium, it didn't. It just happens to be that whatever you designated as "product" is actually the reactant in the current reaction (reverse reaction) and is producing more product (what you labeled as "reactant") to reach equilibrium. This is not a new concept, but rather an explanation of the reverse reaction.
Q is only the constant calculated from the ratio between the products and reactants at some point in time during the reaction before it reaches equilibrium. It does not actually tell us the speed at which the reaction takes place.
In the same way that K does not tell us about how quickly a reaction reached equilibrium, Q only tells us which direction a reaction will proceed, not how quickly. This is because Q is calculated from the instantaneous pressures or concentrations. Since it's from one instant, we cannot infer any information about speed.
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