Strength of an acid / base is referring to the ionisation reaction where it dissociates in a solvent like water. It is not the same kind of principle when it is reacting with a base. If either of the acid or the base is strong the reaction will go to completion.
It is true that we need to know the strength of acid/base for determining things like the pH of the equivalence point and conductivity graphs, however for the purpose of deciding amount of a substance reacted it jut comes back to the basics you learnt in year 11.
Therefore only molar ratios for the reactions need to be compared and you can find the volume.
Also, there is no need to actually calculate the values like the above user did so.
The volumes and concentrations of the acid solutions are the same. The reactions take place as follows:
CH3COOH(aq) + NaOH(aq) --> NaCH3COO(aq) + H2O(l)
H2SO4(aq) + 2NaOH(aq) --> Na2SO4(aq) + 2H2O(l)
Twice as much NaOH is needed i.e. twice the volume, so 44.40 mL would be used.
If the question changed the acid to acetic acid vs hydrochloric acid as an extra example as the reactions would be 1:1 in the ratios, the volume used would be the same.