Milo can core x apples in 10 minutes and peel y potatoes in 20 minutes.
`{:("Quantity A","Quantity B"),("The number of apples","The number of potatoes"),("Milo can core in an hour","Milo can peel in an hour"):}`

Options

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the infromation given.

Answer

To solve the problem, we need to determine the relationship between the number of apples Milo can core in an hour (Quantity A) and the number of potatoes he can peel in an hour (Quantity B).

### Step-by-Step Solution:

1. **Determine the number of apples Milo can core in an hour:**
- Milo can core \( x \) apples in 10 minutes.
- In 60 minutes (which is 1 hour), he can core apples as follows:
\[ \text{Number of 10-minute intervals in 60 minutes} = \frac{60}{10} = 6 \]
- Therefore, the total number of apples he can core in an hour is:
\[ \text{Apples in an hour} = 6 \times x = 6x \]

2. **Determine the number of potatoes Milo can peel in an hour:**
- Milo can peel \( y \) potatoes in 20 minutes.
- In 60 minutes, he can peel potatoes as follows:
\[ \text{Number of 20-minute intervals in 60 minutes} = \frac{60}{20} = 3 \]
- Therefore, the total number of potatoes he can peel in an hour is:
\[ \text{Potatoes in an hour} = 3 \times y = 3y \]

3. **Compare the two quantities:**
- Now we have:
- Quantity A: \( 6x \) (the number of apples)
- Quantity B: \( 3y \) (the number of potatoes)
- We need to compare \( 6x \) and \( 3y \).

4. **Analyze the relationship:**
- Since we do not have any specific values or conditions for \( x \) and \( y \), we cannot definitively say whether \( 6x \) is greater than, less than, or equal to \( 3y \).
- The values of \( x \) and \( y \) can vary independently, meaning:
- If \( x \) is large and \( y \) is small, \( 6x \) could be greater than \( 3y \).
- Conversely, if \( x \) is small and \( y \) is large, \( 6x \) could be less than \( 3y \).
- Hence, we cannot determine a specific relationship between Quantity A and Quantity B.

### Conclusion:
Since we cannot determine a relationship between the quantities based on the information given, the answer is that we cannot compare them definitively.

### Final Answer:
The correct option is (D): The relationship cannot be determined from the information given.

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