Question:

If 100 cats kill 100 rats in 100 days, then 4 cats would kill 4 rats in how many days?

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Equal scaling of both workers (cats) and tasks (rats) means the time required stays the same.
  • 100 days
  • 40 days
  • 10 days
  • 4 days
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The Correct Option is A

Solution and Explanation

We are given: 100 cats kill 100 rats in 100 days.
Let’s understand what this means: It implies that 1 cat kills 1 rat in 100 days.
Now, we need to find out in how many days 4 cats would kill 4 rats.
If 1 cat kills 1 rat in 100 days, then 4 cats can kill 4 rats in the same 100 days because: Each cat works independently, and each cat is responsible for 1 rat. Hence, \[ \boxed{100 \text{ days}} \]
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