Question

На первом станке изготовляют 5 деталей в минуту, а на втором заэто же время на 2 деталей меньме. Сколько всего деталей будет изготовлено за 2 часа роботы на этих два станках!Реши задачу двумя способами

Answer 1

1 способ
1) 5-2=3(Д)-изготавливает 2 станок
2)5+3=8(д)-всего в минуту
В 1 часу 60  минут.
3) 8х60=480(д)-за 2 часа

2 способ.
1)5х60=300(д)-за 2 часа 1 станок
2) 5-2=3(д)-изготавливает 2 станок
3)3х60=180(д)-за 2 часа второй станок
4)180+300=480(д)-за 2 часа.
Ответ: за 2 часа изготовиться 480 деталий

Answer 2

Problem Statement

На первом станке изготовляют 5 деталей в минуту, а на втором за это же время на 2 детали меньше. Сколько всего деталей будет изготовлено за 2 часа работы на этих двух станках? Решите задачу двумя способами.

Solution 1: Using Direct Calculation

To find the total number of parts produced by each machine in 2 hours, we need to calculate the number of parts produced per minute and then multiply it by the number of minutes in 2 hours.

Let's calculate the number of parts produced per minute by each machine: - Machine 1 produces 5 parts per minute. - Machine 2 produces 2 parts less than Machine 1 per minute.

Therefore, Machine 2 produces (5 - 2) = 3 parts per minute.

Now, let's calculate the total number of parts produced by each machine in 2 hours: - Machine 1: 5 parts/minute * 60 minutes/hour * 2 hours = 600 parts - Machine 2: 3 parts/minute * 60 minutes/hour * 2 hours = 360 parts

To find the total number of parts produced by both machines, we can simply add the number of parts produced by each machine: 600 parts + 360 parts = 960 parts.

Therefore, a total of 960 parts will be manufactured by these two machines in 2 hours.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios. We can set up a ratio between the number of parts produced by Machine 1 and Machine 2.

Let's assume that Machine 1 produces x parts per minute. Since Machine 2 produces 2 parts less than Machine 1 per minute, Machine 2 will produce (x - 2) parts per minute.

Now, we can set up the following ratio: x parts per minute (Machine 1) : (x - 2) parts per minute (Machine 2)

Since the time is the same for both machines (2 hours), the ratio of the total number of parts produced by each machine will be the same as the ratio of the parts produced per minute.

Let's calculate the ratio: x parts per minute (Machine 1) : (x - 2) parts per minute (Machine 2) = 5 parts per minute (Machine 1) : 3 parts per minute (Machine 2)

To find the value of x, we can cross-multiply: 5(x - 2) = 3x

Simplifying the equation: 5x - 10 = 3x 2x = 10 x = 5

Now that we know Machine 1 produces 5 parts per minute, we can calculate the total number of parts produced by each machine in 2 hours: - Machine 1: 5 parts/minute * 60 minutes/hour * 2 hours = 600 parts - Machine 2: (5 - 2) parts/minute * 60 minutes/hour * 2 hours = 360 parts

Adding the number of parts produced by each machine: 600 parts + 360 parts = 960 parts.

Therefore, a total of 960 parts will be manufactured by these two machines in 2 hours.

Both methods yield the same result, which is 960 parts.