Question

Первый цех производит 15 деталей в час .Второй цех производит за 8-часовой рабочий день на 10деталей меньше,чем первый .Третий производит в день в два раза меньше деталей ,чем первый и второй цеха вместе. Сколько нужно машин ,чтобы вывезти все детали ,произведённые в трёх цехах за 8-часовой рабочий день ,если на одной машине можно вывезти23 детали.

Answer 1

15 * 8 = 120 (д) за день 1 цех
120 - 10 = 110 (д) за день 2 цех
(120 + 110) : 2 = 115 (д) заа день 3 цех
120 + 110 +115 = 345 (д) все за день
345 : 23= 15(м) 
Ответ: 15 машин

Answer 2

Problem Analysis

We are given information about three production units (цех) and their respective production rates. The first unit produces 15 parts per hour, the second unit produces 10 parts per hour less than the first unit over an 8-hour workday, and the third unit produces half the number of parts as the combined production of the first and second units. We need to determine the number of machines required to transport all the parts produced by these three units in an 8-hour workday, given that each machine can transport 23 parts.

Solution

To solve this problem, we need to calculate the total number of parts produced by the three units in an 8-hour workday and then divide that number by the number of parts each machine can transport.

Let's calculate the total number of parts produced by each unit in an 8-hour workday:

- The first unit produces 15 parts per hour, so in 8 hours it will produce 15 * 8 = 120 parts. - The second unit produces 10 parts per hour less than the first unit, so it produces (15 - 10) = 5 parts per hour. In 8 hours, it will produce 5 * 8 = 40 parts. - The third unit produces half the number of parts as the combined production of the first and second units. The combined production of the first and second units is 120 + 40 = 160 parts. So, the third unit produces 160 / 2 = 80 parts.

Now, let's calculate the total number of parts produced by all three units in an 8-hour workday:

- The first unit produces 120 parts. - The second unit produces 40 parts. - The third unit produces 80 parts.

Therefore, the total number of parts produced by all three units in an 8-hour workday is 120 + 40 + 80 = 240 parts.

Finally, let's calculate the number of machines required to transport all the parts:

- Each machine can transport 23 parts. - The total number of parts produced is 240.

Therefore, the number of machines required is 240 / 23 = 10.43 machines. Since we cannot have a fraction of a machine, we need to round up to the nearest whole number. Therefore, we need 11 machines to transport all the parts produced by the three units in an 8-hour workday.

Answer

To transport all the parts produced in the three units in an 8-hour workday, you would need 11 machines.