Final answer:
The latest time Nazim can start preparing the food for the party is 4:30 PM.
Step-by-step explanation:
To determine the latest time Nazim can start preparing the food for the party, we need to consider the time requirements. The party is scheduled to arrive at 7:30 PM. We should allocate enough time for the food preparation to ensure it is ready before the party starts.
- If Nazim starts at 5:05 PM, he has 2.5 hours to prepare the food, which should be sufficient.
- If Nazim starts at 4:55 PM, he has 2.75 hours to prepare the food.
- If Nazim starts at 4:30 PM, he has 3 hours to prepare the food.
- If Nazim starts at 4:15 PM, he has 3.25 hours to prepare the food.
Therefore, the latest time Nazim can start preparing the food for the party is 4:30 PM.