Incubation-clock approach. Time-to-symptom is the discriminator in food-poisoning questions. A 1 to 6 hour onset dominated by vomiting screams a PREFORMED toxin eaten with the food, and the two classic short-incubation culprits are Staphylococcus aureus and Bacillus cereus (emetic type). Here, at 3 hours with nausea, vomiting and cramps, Staphylococcus aureus is the answer: its heat-stable enterotoxin is already in the contaminated dish, so no bacterial growth in the gut is needed and symptoms arrive almost immediately. Contrast the slower agents: Salmonella and Clostridium perfringens run 8 to 72 hours because they must multiply or release toxin in vivo, and Clostridium botulinum (12 to 36 hours) presents with cranial-nerve palsies and descending flaccid paralysis rather than early vomiting. Short clock plus vomiting equals Staph. Answer: Staphylococcus aureus.