Question

На стройке 30 рабочих должны выполнить залание за 6 дней. Чтобы выполнить задание досрочно, количество рабочих увеличили на 20% На сколько дней раньше рабочие выполнили задание?

Answer 1

30рабочих-100%
х рабочих-120%
х=30×120:100=36

30рабочих-6дней
36рабочих-х дней
30:36=х:6
х=6×30:36=5дней
6-5=1
Ответ:Рабочие выполнили задание на 1день раньше

Answer 2

Calculation of the Number of Days Saved

To calculate the number of days the workers completed the task earlier, we need to determine the original number of days required to complete the task and the new number of days with the increased workforce.

Given: - Original number of workers: 30 - Original number of days to complete the task: 6 - Increased workforce: 20%

Calculation of the Original Number of Days

To find the original number of days required to complete the task, we can use the formula:

Original number of days = Total work / Work done per day

Since the total work remains the same, we can assume that the work done per day is constant. Therefore, the original number of days can be calculated as:

Original number of days = Total work / (Original number of workers x Work done per worker per day)

Calculation of the New Number of Days

To find the new number of days required to complete the task with the increased workforce, we can use the same formula as above, but with the updated number of workers:

New number of days = Total work / (Updated number of workers x Work done per worker per day)

Calculation of the Number of Days Saved

The number of days saved can be calculated by subtracting the new number of days from the original number of days:

Number of days saved = Original number of days - New number of days

Let's calculate the number of days saved using the given information.

Calculation:

1. Calculate the original number of days: - Total work: 1 task - Work done per worker per day: 1 task / (30 workers x 6 days) = 1/180 tasks per worker per day - Original number of days = 1 task / (30 workers x 1/180 tasks per worker per day) = 6 days

2. Calculate the new number of days: - Updated number of workers: 30 workers + (30 workers x 20%) = 30 workers + 6 workers = 36 workers - New number of days = 1 task / (36 workers x 1/180 tasks per worker per day) = 5 days

3. Calculate the number of days saved: - Number of days saved = 6 days - 5 days = 1 day

Therefore, the workers completed the task 1 day earlier than the original deadline.

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