"Had worked" is the past perfect tense, which is used to describe an action that was completed before another past action. In this case, it indicates that the work was finished before another event took place.
"Became" is in the simple past tense, used to describe the second event in the sequence, which happens after the first action.
The sentence clearly indicates a sequence of events: the work was completed first ("had worked") and then the second event occurred ("became"). This makes the use of past perfect ("had worked") and simple past ("became") the correct choice for this sentence.
The correct answer is the use of past perfect tense ("had worked") for the action that happened first, followed by the simple past tense ("became") for the second event.