If 4 cats can kill 4 rats in 4 minutes, how many minutes will it take 8 cats to kill 8 rats?

Options

A. 8
B. 4
C. 2
D. 16

Explanation

To solve the problem, we can break it down step by step:

### Step 1: Understand the given information
We know that 4 cats can kill 4 rats in 4 minutes. This means that the rate of work is constant.

**Hint:** Identify the relationship between the number of cats, the number of rats, and the time taken.

### Step 2: Determine the rate of work for the cats
From the information given:
- 4 cats kill 4 rats in 4 minutes.
- Therefore, 1 cat kills 1 rat in 4 minutes.

**Hint:** Simplify the problem by considering the work done by one cat.

### Step 3: Calculate the time taken for 8 cats
Now we need to find out how long it will take for 8 cats to kill 8 rats. Since we know that 1 cat can kill 1 rat in 4 minutes, we can use this information.

- If 1 cat kills 1 rat in 4 minutes, then 8 cats will also kill 8 rats in the same 4 minutes because they are working simultaneously.

**Hint:** Remember that increasing the number of workers (cats) allows them to complete the same amount of work in the same time.

### Step 4: Conclusion
Thus, it will take 8 cats 4 minutes to kill 8 rats.

**Final Answer:** 4 minutes