# Three cats

If three cats eat three mice in three minutes, after which time 70 cats eat 70 mice?

## Correct answer:

**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

1 year 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.

1 year 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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