Question

Помогите пожалуйста решить задачу. Одна бригада рабочих делает за 12 дней 1512 деталей, другая 1260. Сколько дней потребуется для изготовления 1617 деталей, если обе бригады будут работать вместе с той же производительностью.

Answer 1

1)1512 : 12 = 126 (д) - изготавливает  1 бригада за 1 день
2)1260 : 12 = 105 (д) - изготавливает 2 бригада за 1 день
3)126 + 105 = 231 (д) - вместе за 1 день
4)1617 : 231 = 7 (д)
Ответ: 7 дней потребуется

Answer 2

Problem Analysis

We are given two brigades of workers, one of which can produce 1512 parts in 12 days, and the other can produce 1260 parts. We need to determine how many days it will take for both brigades to produce 1617 parts if they work together at the same productivity level.

Solution

To solve this problem, we can calculate the productivity rate of each brigade and then determine the number of days required to produce 1617 parts by both brigades working together.

Let's start by calculating the productivity rate of each brigade:

- Brigade 1: Produces 1512 parts in 12 days. - Brigade 2: Produces 1260 parts in an unknown number of days.

To find the productivity rate of Brigade 2, we can set up a proportion:

1512 parts / 12 days = 1260 parts / x days

Cross-multiplying, we get:

1512x = 12 * 1260

Simplifying, we find:

1512x = 15120

Dividing both sides by 1512, we get:

x = 10

So, Brigade 2 can produce 1260 parts in 10 days.

Now, let's calculate the combined productivity rate of both brigades:

- Brigade 1: Produces 1512 parts in 12 days. - Brigade 2: Produces 1260 parts in 10 days.

To find the combined productivity rate, we can set up another proportion:

1512 parts / 12 days = 1617 parts / y days

Cross-multiplying, we get:

1512y = 12 * 1617

Simplifying, we find:

1512y = 19404

Dividing both sides by 1512, we get:

y = 12.84

Rounding up to the nearest whole number, we find that it will take approximately 13 days for both brigades to produce 1617 parts if they work together at the same productivity level.

Answer

It will take approximately 13 days for both brigades to produce 1617 parts if they work together at the same productivity level.