A leading chocolate producing company produces 'abc' chocolates per hour (abc is a three digit positive number). In how many hours it will produce 'abcabc' chocolates?

Options

A. abc
B. 101
C. 1001
D. can't be determined

Answer

To solve the problem, we need to determine how many hours it will take for a chocolate company that produces 'abc' chocolates per hour to produce 'abcabc' chocolates.

### Step-by-Step Solution:

1. **Understand the Problem:**
- The company produces 'abc' chocolates per hour.
- We need to find out how many hours it will take to produce 'abcabc' chocolates.

2. **Express 'abcabc' in Terms of 'abc':**
- The number 'abc' is a three-digit number.
- The number 'abcabc' can be expressed as \( abc \times 1000 + abc \).
- This simplifies to \( abc \times (1000 + 1) = abc \times 1001 \).

3. **Set Up the Equation:**
- Let \( n \) be the number of hours required to produce 'abcabc' chocolates.
- The total chocolates produced in \( n \) hours is \( abc \times n \).
- We set up the equation:
\[ abc \times n = abc \times 1001 \]

4. **Solve for \( n \):**
- Since 'abc' is a common factor on both sides of the equation, we can divide both sides by 'abc' (assuming 'abc' is not zero):
\[ n = 1001 \]

5. **Conclusion:**
- Therefore, it will take 1001 hours to produce 'abcabc' chocolates.

### Final Answer:
The number of hours required to produce 'abcabc' chocolates is **1001 hours**.

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