Step 1: Same cation:
Each substrate gives $(\text{CH}_3)_3\text{C}^+$, so carbocation stability is identical.
Step 2: What differs:
The strength of the C-X bond. C-I is longest and weakest, so it breaks most easily.
Step 3: Result:
The iodide reacts fastest in SN1, option (D).
Final Answer:
tert-Butyl iodide reacts fastest by SN1.
\[ \boxed{\text{(D) }(\text{CH}_3)_3\text{C-I}} \]