Question

Два автомата за 3 минуты закрывают 567 банок причём первый автомат в минуту закрывает на 9 банок больше чем второй Сколько банок за минуту закрывает каждый автомат второе за сколько минут оба автомата закроют 3780 банок работая с той же производительностью УСЛОВИЕ​

Answer 1

Пошаговое объяснение:

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Answer 2

Problem Analysis

We are given that two machines can close 567 jars in 3 minutes. The first machine closes 9 more jars per minute than the second machine. We need to determine how many jars each machine closes per minute and how long it will take for both machines to close 3780 jars at the same rate.

Solution

Let's denote the number of jars closed by the first machine per minute as x and the number of jars closed by the second machine per minute as y.

From the given information, we know that: - The first machine closes 9 more jars per minute than the second machine. - The two machines can close 567 jars in 3 minutes.

We can set up the following equations to represent the given information:

Equation 1: x = y + 9 (The first machine closes 9 more jars per minute than the second machine)

Equation 2: 3x + 3y = 567 (The two machines can close 567 jars in 3 minutes)

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.

From Equation 1, we can express y in terms of x: y = x - 9

Substituting this value of y into Equation 2, we get: 3x + 3(x - 9) = 567

Simplifying the equation: 6x - 27 = 567

Adding 27 to both sides: 6x = 594

Dividing both sides by 6: x = 99

Substituting this value of x back into Equation 1, we can find y: y = 99 - 9 = 90

Therefore, the first machine closes 99 jars per minute and the second machine closes 90 jars per minute.

Now, let's determine how long it will take for both machines to close 3780 jars at the same rate.

Let's denote the time it takes for both machines to close 3780 jars as t.

The total number of jars closed by both machines in t minutes can be calculated as: 99t + 90t = 3780

Combining like terms: 189t = 3780

Dividing both sides by 189: t = 20

Therefore, it will take both machines 20 minutes to close 3780 jars at the same rate.

Answer

The first machine closes 99 jars per minute and the second machine closes 90 jars per minute. Both machines will close 3780 jars in 20 minutes when working at the same rate.