To answer this question, we need to understand the correct tense to use in the given context.
The correct answer is C) left.
Explanation:
The sentence is in the past tense, and the action of "arriving home" happened at the same time as the action of "leaving for work". Therefore, we need to use the past tense for the verb "leave".
Option A) leave - This option is incorrect because it is in the present tense, not the past tense.
Option B) have been leaving - This option is incorrect because it uses the present perfect continuous tense, which is not appropriate for the context of the sentence.
Option C) left - This option is correct because it is in the past tense, which is appropriate for the context of the sentence.
Option D) None of the above - This option is incorrect because option C) left is the correct answer.
Therefore, the correct answer is C) left.