Yeah, we should assume it's a typo in the drawing. I also take back the elimination and addition quip, that wouldn't form a primary halide. In any case I believe the tertiary will react faster. Cl- is a crappy nucleophile that won't do much Sn2. Also, this question reminds me of the Lucas test, which distinguishes tertiary / secondary / primary alcohols based on reaction speed in ZnCl2 and conc. HCl.