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Work-rate proportionality (cats and mice): Find days for 4 cats to kill 4 mice. Given: 100 cats kill 100 mice in 100 days (assume proportional, independent rates). Determine the number of days for 4 cats to kill 4 mice. Choose the correct duration.

Difficulty: Easy

1 day
4 days
40 days
100 days

Correct Answer: 100 days

Explanation:

Interpretation
If 100 cats kill 100 mice in 100 days, then each cat kills 1 mouse in 100 days (rates scale linearly with both cats and mice).

Apply proportionality
4 cats killing 4 mice ⇒ effectively 1 cat per mouse, each requiring 100 days.

Final Answer
100 days

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