Question

На прядильной фабрике бригада из 8 рабочих за 6 дней выполнила 4/9 всего задания. На сколько человек следует увеличить бригаду ,чтобы оставшуюся часть задания выполнить за 5 дней? Ответ пожалуйста подходящий под 6 класс .

Answer 1

P - производительность
А - работа
t - время
n - кол-во рабочих
$p= \frac{A}{tn}$
$p= \frac{ \frac{4}{9} }{6\cdot8} =\frac{ 1 }{108}$ - производительность 1 рабочего за 1 день
$n= \frac{A}{pt}$
$n= \frac{ \frac{5}{9} }{ \frac{1}{108}\cdot5} =12$ - должно быть в бригаде
$\delta n =12-8=4$
Ответ: на 4 человека.

Answer 2

Problem Analysis

We are given that a team of 8 workers on a spinning factory completed 4/9 of the total task in 6 days. We need to determine how many additional workers should be added to the team in order to complete the remaining task in 5 days.

Solution

Let's first calculate the fraction of the task completed by the team in 6 days. We are given that the team completed 4/9 of the task, so we can represent this as a fraction: 4/9.

Next, we need to calculate the fraction of the task that remains to be completed. Since the team completed 4/9 of the task, the remaining fraction of the task can be calculated as: 1 - 4/9 = 5/9.

Now, let's calculate the fraction of the task that can be completed by the team in 1 day. Since the team completed 4/9 of the task in 6 days, the fraction of the task completed by the team in 1 day can be calculated as: 4/9 ÷ 6 = 2/27.

To determine how many additional workers should be added to the team, we need to calculate the fraction of the task that can be completed by one worker in 1 day. Since the team of 8 workers completed 2/27 of the task in 1 day, the fraction of the task completed by one worker in 1 day can be calculated as: (2/27) ÷ 8 = 1/108.

Now, let's calculate the fraction of the task that can be completed by one worker in 5 days. Since the fraction of the task completed by one worker in 1 day is 1/108, the fraction of the task completed by one worker in 5 days can be calculated as: (1/108) × 5 = 5/108.

To determine how many additional workers should be added to the team, we need to calculate the fraction of the task that can be completed by the additional workers in 5 days. Since the fraction of the task completed by one worker in 5 days is 5/108, the fraction of the task completed by the additional workers in 5 days can be calculated as: 5/9 - 5/108 = 55/108.

Finally, let's calculate the number of additional workers needed to complete the remaining task in 5 days. Since the fraction of the task completed by the additional workers in 5 days is 55/108, the number of additional workers needed can be calculated as: 55/108 ÷ (1/108) = 55.

Therefore, 55 additional workers should be added to the team in order to complete the remaining task in 5 days.

Answer

To complete the remaining part of the task in 5 days, the team should be increased by 55 additional workers.