Question

По плану бригада из 5 человек должна была убрать урожай морковь с поля площадью 3.4 га за пять дней через два дня после начала работы двое рабочих заболели сможет ли к сроку выполнить работу бригада если увеличить производительность работы за день на 5 % ? дам 20 баллов

Answer 1

Они не выполнят около одной четвертой работы

Answer 2

Can the team complete the work on time if the productivity is increased by 5%?

To determine if the team can complete the work on time, we need to calculate the amount of work they need to do and compare it to the remaining time.

The field has an area of 3.4 hectares, and the team has five days to complete the work. Initially, the team consisted of five people. However, after two days, two workers fell ill.

To calculate the amount of work the team needs to do, we can start by finding the total area of the field in square meters. One hectare is equal to 10,000 square meters, so 3.4 hectares is equal to 34,000 square meters.

Next, we need to calculate the work rate of the team. Initially, with five workers, the team's work rate can be calculated as the total area divided by the number of workers and the number of days:

Work rate = Total area / (Number of workers * Number of days)

Work rate = 34,000 square meters / (5 workers * 5 days) = 680 square meters per worker per day.

However, after two workers fell ill, the team now consists of three workers. To determine if they can complete the work on time, we need to calculate the remaining work and compare it to the remaining time.

The remaining time is three days (five days minus the two days that have already passed).

The remaining work can be calculated as the remaining area divided by the number of workers and the remaining time:

Remaining work = Remaining area / (Number of workers * Remaining time)

Remaining work = 34,000 square meters / (3 workers * 3 days) = 1,489 square meters per worker per day.

Now, if we increase the productivity of the team by 5%, we can calculate the new work rate and the new remaining work:

New work rate = Work rate * (1 + Productivity increase)

New work rate = 680 square meters per worker per day * (1 + 0.05) = 714 square meters per worker per day.

New remaining work = Remaining work / (1 + Productivity increase)

New remaining work = 1,489 square meters per worker per day / (1 + 0.05) = 1,417 square meters per worker per day.

Comparing the new work rate to the new remaining work, we can determine if the team can complete the work on time. If the new work rate is greater than or equal to the new remaining work, then the team can complete the work on time.

In this case, the new work rate of 714 square meters per worker per day is greater than the new remaining work of 1,417 square meters per worker per day. Therefore, even with a 5% increase in productivity, the team will not be able to complete the work on time.

Please note that the calculations provided are based on the given information and assumptions. Factors such as weather conditions, equipment availability, and individual worker efficiency can also affect the team's ability to complete the work on time.

I hope this helps! Let me know if you have any further questions.