Randy then moves on to the jumbo Track, which has a radius of 200 meters (as compared to the first track, with a radius of 75 meters). Ordinarily, Randy runs 8 laps on the normal track. How many laps on the jumbo Track would Randy have to run in order to run the same distance?

Answer

To solve the problem, we need to find out how many laps Randy would have to run on the jumbo track to cover the same distance he covers on the normal track.

### Step-by-step Solution:

1. **Calculate the distance covered on the normal track:**
- The radius of the normal track is 75 meters.
- The perimeter (circumference) of a circle is given by the formula:
\[ \text{Perimeter} = 2 \pi r \]
- For the normal track:
\[ \text{Perimeter} = 2 \pi \times 75 = 150 \pi \text{ meters} \]
- Randy runs 8 laps on this track, so the total distance covered on the normal track is:
\[ \text{Distance}_{\text{normal}} = 8 \times 150 \pi = 1200 \pi \text{ meters} \]

2. **Calculate the distance covered on the jumbo track:**
- The radius of the jumbo track is 200 meters.
- The perimeter of the jumbo track is:
\[ \text{Perimeter} = 2 \pi \times 200 = 400 \pi \text{ meters} \]
- Let \( n \) be the number of laps Randy runs on the jumbo track. The total distance covered on the jumbo track is:
\[ \text{Distance}_{\text{jumbo}} = n \times 400 \pi \text{ meters} \]

3. **Set the distances equal to each other:**
- Since Randy wants to cover the same distance on both tracks:
\[ 1200 \pi = n \times 400 \pi \]

4. **Cancel out \( \pi \) from both sides:**
- This simplifies to:
\[ 1200 = n \times 400 \]

5. **Solve for \( n \):**
- Divide both sides by 400:
\[ n = \frac{1200}{400} = 3 \]

### Conclusion:
Randy would need to run **3 laps** on the jumbo track to cover the same distance he covers in 8 laps on the normal track.