Question

В первый день токарь сделал 5/8 всей работы,во второй день -1/6 всей работы,а в третий -выточил оставшиеся 20 деталей. Сколько деталей выточил рабочий во второй день?

Answer 1

Пусть х деталей вся работа, в первый день - 5/8 х, а во второй 1/6х.

Складываем уравнение:

5/8х+1/6х+20 = х 

5/8х+1/6х-х = -20

15/24х+4/24х +х = -20

19/24х-х =-20

19/24х-24/24х = -20

-5/24х =-20       *(-1)

х = 20:5/24

х = 20*24/5 

х =480/5

х = 96 (д.)- вся работа.

5/8*96 = 60 (д.)- сделал в первый день. 

1/6*96 = 16 (д.)-  во второй день.

Проверяем:

60+16+20 = 96 

Ответ: 16 деталей выточил рабочий во второй день.

 

Answer 2

Узнаем сколько работы выполнил токарь в первые два дня:

5/8 +1/6= 15/24 + 4/24= 19/24 

 

Теперь найдём какую часть работы сделал токарь в третий день:

24/24 - 19/24 = 5/24

 

20 деталей - 5/24 частей

х деталей - 24/24 частей

 

20 * 24/24 = х * 5/24

480 = 5х

х=96 (деталей выточил токарь за три дня)

 

96 * 1/6 = 16 (деталей выточил токарь во второй день)

Ответ: 16 деталей.

Answer 3

Calculation of Machined Parts

To calculate the number of parts machined by the worker on the second day, we can use the information provided.

On the first day, the worker completed 5/8 of the total work. On the second day, the worker completed 1/6 of the total work. On the third day, the worker machined the remaining 20 parts.

Calculation

Let's calculate the total work based on the information provided: 1. The worker completed 5/8 of the work on the first day. 2. The worker completed 1/6 of the work on the second day. 3. The remaining work was 3/24 (as 5/8 - 1/6 = 3/24).

So, the total work can be represented as: 5/8 + 1/6 + 3/24 = 15/24 + 8/24 + 3/24 = 26/24 = 13/12

Now, let's calculate the number of parts machined by the worker on the second day: 1. The worker machined 1/6 of the total work on the second day. 2. The total number of parts machined on the second day can be calculated as: (1/6) * Total Parts = (1/6) * 20 = 20/6 = 3.33

Therefore, the worker machined approximately 3.33 parts on the second day.