Question

Бригада из 8 рабочих выполняет производственное задание за 12 дней.За сколько дней бригада выполнит то же задание, если число рабочих в ней сократить до 6? Сколько рабочих смогут выполнить задание за 8 дней, работая с той же производительностью?

Answer 1

12дней/8дней=1.5(раза)
1.5*8=12(рабочих)

Answer 2

Calculation for the First Question

To calculate the number of days it will take for a team of 6 workers to complete the same task that a team of 8 workers completed in 12 days, we can use the concept of "worker-days."

The number of worker-days is calculated by multiplying the number of workers by the number of days they work.

For the first question, we have: - Number of workers in the initial team = 8 - Number of days taken by the initial team = 12

To find the number of worker-days for the initial team, we multiply the number of workers by the number of days: 8 workers * 12 days = 96 worker-days

Now, we need to find the number of days it will take for a team of 6 workers to complete the same task. Let's call this number of days "x."

We can set up a proportion to solve for "x": 8 workers * 12 days = 6 workers * x days

Simplifying the equation: 96 worker-days = 6 workers * x days

To solve for "x," we divide both sides of the equation by 6 workers: 96 worker-days / 6 workers = x days

x = 16 days

Therefore, a team of 6 workers will be able to complete the same task in 16 days.

Calculation for the Second Question

To calculate the number of workers needed to complete the task in 8 days while maintaining the same productivity, we can use the concept of "worker-days" again.

For the second question, we have: - Number of days required = 8

Let's call the number of workers needed to complete the task in 8 days "y."

We can set up a proportion to solve for "y": 8 workers * 12 days = y workers * 8 days

Simplifying the equation: 96 worker-days = 8y worker-days

To solve for "y," we divide both sides of the equation by 8 worker-days: 96 worker-days / 8 worker-days = y

y = 12 workers

Therefore, to complete the task in 8 days while maintaining the same productivity, a team of 12 workers would be needed.

Please note that these calculations assume a constant level of productivity and do not account for factors such as fatigue or efficiency variations among workers.