Three cats
If three cats eat three mice in three minutes, after what time will 70 cats eat 70 mice?
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Showing 4 comments:
Sir
Because its still 1 cat per 1 mouse regardless if its 3 cats per 3 mice or 90 cats per 90 mice. It still takes each cat 3 minutes
3 years ago 2 Likes
Gpt
his problem involves the assumption that the rate of cats eating mice is constant. Therefore, we can use the ratio and proportion method to solve the problem.
We know that 3 cats can eat 3 mice in 3 minutes, which means that each cat can eat 1 mouse in 3 minutes. Therefore, the rate of each cat eating a mouse is 1/3 mice per minute.
To find out how long it will take 90 cats to eat 90 mice, we can set up a proportion:
3 cats / 3 mice / 3 minutes = 90 cats / 90 mice / x minutes
Simplifying this proportion gives:
1 cat / 1 mouse / 3 minutes = 1 cat / 1 mouse / x minutes
Multiplying both sides by x gives:
x / 3 = 1
Solving for x gives:
x = 3 minutes
Therefore, it will take 90 cats to eat 90 mice in 3 minutes.
We know that 3 cats can eat 3 mice in 3 minutes, which means that each cat can eat 1 mouse in 3 minutes. Therefore, the rate of each cat eating a mouse is 1/3 mice per minute.
To find out how long it will take 90 cats to eat 90 mice, we can set up a proportion:
3 cats / 3 mice / 3 minutes = 90 cats / 90 mice / x minutes
Simplifying this proportion gives:
1 cat / 1 mouse / 3 minutes = 1 cat / 1 mouse / x minutes
Multiplying both sides by x gives:
x / 3 = 1
Solving for x gives:
x = 3 minutes
Therefore, it will take 90 cats to eat 90 mice in 3 minutes.
2 years ago 549 Likes
Michael
3 cats eat 3 mice in 3 minutes.
This means each individual cat takes 3 minutes to eat an individual mouse. You could think of it as they're chewing on their own mouse separately, and they all finish their own mouse after 3 minutes.
So 1 cat to eat 1 mouse, 3 cats to eat 3 mice, 70 cats to eat 70 mice, or 1 million cats to eat a million mice, will all take 3 minutes.
This means each individual cat takes 3 minutes to eat an individual mouse. You could think of it as they're chewing on their own mouse separately, and they all finish their own mouse after 3 minutes.
So 1 cat to eat 1 mouse, 3 cats to eat 3 mice, 70 cats to eat 70 mice, or 1 million cats to eat a million mice, will all take 3 minutes.
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