Problem:
If 3 cats can catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies?
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Step-by-Step Solution:
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Step 1: Understand the given information
-
3 cats can catch
3 bunnies in
3 minutes.
- This implies that the rate at which the cats are catching bunnies is consistent.
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Step 2: Determine the rate of catching bunnies
- If 3 cats catch 3 bunnies in 3 minutes, then:
- Each cat catches
1 bunny in 3 minutes.
- This is because the 3 cats are working simultaneously, and they collectively catch 3 bunnies in 3 minutes. Therefore, each cat catches 1 bunny in that time.
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Step 3: Scale up to 100 cats
- If 1 cat catches 1 bunny in 3 minutes, then:
- 100 cats, working simultaneously, will catch 100 bunnies in the same amount of time.
- This is because each cat is independent and catches bunnies at the same rate.
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Step 4: Conclusion
- Since 100 cats are working together and each cat catches 1 bunny in 3 minutes, it will take
3 minutes for 100 cats to catch 100 bunnies.
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Final Answer:
$$
\boxed{3}
$$
Parent Tip: Review the logic above to help your child master the concept of math puzzles brain teasers.