Lecturer: If I say, “I tried to get my work done on time,” the meanings of my words do not indicate that I didn’t get it done on time.
Statements
Saying doesn't actually mean that the person failed to get their work on time, but that is what the speaker is trying to convey.
Had they gotten their work done on time, they would have said "I got my work done on time".
This is typical of how conversation works.
Evaluate
This is a very odd Inference stimulus. There don't seem to be any of the usual wording clues that suggest where they might want to go with this (conditional / causal / pivots / math-y stuff).
We're basically just hearing that it's typical in conversation for the implied meaning to be different from the literal meaning.
Someone who did get their work done on time could also truthfully say, , because "to try" means you applied intention and effort, which would clearly be true of anyone who completed their work.
Goal
Let's just look for a safely-worded claim that can be supported by the fact that .