There is two part of the problem that need to take into account.
Titration and dilution which have totally different formular
Titration: n1v1=n2v2 (n is for Normality)
Dilution: M1V1=M2V2
The first part of the problem is for the titration (base titrated with acid to yield the equivalence point)
n1v1=n2v2--> 20*1=1*v2--> thus need 20 ml of HCL to yield the equivalence point.
So at the equivalence point you have: 20 ml OH- + 20 ml H+. Total is 40 ml at the equivalence point.
After the equivalence point, the extra amount of HCL added will determined the pH of the solution---> DILUTION
M1V1=M2V2
1M*x=0.02(40+x). x is the volume amount of HCL added after the equivalence point.
solve for x, you got 0.8. Thus the final volume is 40.8, thus need 20.8L of HCL.