Start here. This is the direct spoken answer to practice first.
Why this question matters
Conflicting priorities are normal. The question is whether the candidate silently multitasks, complains, or helps create a decision.
Use this as an adaptable model, not a story to claim as your own. Replace the project, constraints, your actions, collaborators, outcome, evidence, and reflection with truthful details from your experience.
I had a week where I was expected to finish a feature, review a migration, and help investigate a production slowdown. I made the conflict visible instead of trying to do all three badly. I listed the impact and urgency of each item: the production slowdown affected users now, the migration could block release if wrong, and the feature had some schedule flexibility. I proposed focusing on the incident first, reviewing the migration next, and moving the feature by a day.