A stores only lunch driver needs to deliver an order to a school. There's 500 children abs they will each eat 2 pieces of pizza. The pizzas each have 8 slices. The driver can fit 50 boxes into their car. The trip is 10 minutes each way, including unloading, What time does the driver have to start the first trip to deliver all of the pizzas by 10:52 a.m.?

To solve this problem, we need to determine how many trips the driver must make to deliver all the pizzas and then calculate when the driver must start to ensure all the pizzas are delivered by 10:52 a.m.

### Step-by-Step Solution

1. **Calculate the total number of pizza slices needed:**

   Each of the 500 children will eat 2 pieces of pizza. Thus:
   \[
   \text{Total number of slices needed} = 500 \times 2 = 1000 \text{ slices}
   \]

2. **Calculate the number of whole pizzas required:**

   Each pizza has 8 slices. Therefore, the number of pizzas required is:
   \[
   \text{Number of pizzas needed} = \frac{1000}{8} = 125 \text{ pizzas}
   \]

3. **Determine the number of boxes needed:**

   Since each box contains one pizza, the number of boxes required is 125.

4. **Calculate the number of trips needed:**

   The driver can fit 50 boxes in the car per trip. Therefore, the number of trips required is:
   \[
   \text{Number of trips needed} = \left\lceil \frac{125}{50} \right\rceil = \left\lceil 2.5 \right\rceil = 3 \text{ trips}
   \]

5. **Calculate the total time required for all trips:**

   Each trip takes 10 minutes, including unloading. So, the total time needed for 3 trips is:
   \[
   \text{Total time for 3 trips} = 3 \times 10 = 30 \text{ minutes}
   \]

6. **Determine the start time for the first trip:**

   The driver must complete all deliveries by 10:52 a.m. If the total delivery time is 30 minutes, the driver must start the first trip 30 minutes before 10:52 a.m.

   \[
   \text{Start time} = 10:52 \text{ a.m.} - 30 \text{ minutes} = 10:22 \text{ a.m.}
   \]

### Conclusion

The driver must start the first trip at **10:22 a.m.** to deliver all the pizzas by 10:52 a.m.

---

Would you like more details or have any questions? Here are 5 related questions to consider:

1. What if the trip time changed to 12 minutes each way? How would that affect the start time?
2. How many pizzas would be needed if each child ate 3 slices instead of 2?
3. If the driver could only fit 40 boxes in their car, how many trips would be required?
4. How would the calculation change if the driver had a helper who could unload in half the time?
5. What would happen if the school had 600 children instead of 500?

**Tip:** When solving time-based problems, always remember to factor in both directions of travel and any loading or unloading time!

A store's lunch driver needs to deliver an order to a school. There's 500 children and they will each eat 2 pieces of pizza. The pizzas each have 8 slices. The driver can fit 50 boxes into their car. The trip is 10 minutes each way, including unloading. What time does the driver have to start the first trip to deliver all of the pizzas by 10:52 a.m.?

Calculate the start time required for a driver to deliver 125 pizzas to 500 children by 10:52 a.m. Learn how to determine the total number of pizzas needed, the number of trips required, and the start time for timely delivery. Ideal for Grades 5-7 students.

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