Question

Чтобы выполнить задание в срок рабочий должен был ежедневно изготывливать 20 деталей .Изготавливая в день на 2 детали больше,он выполнил задание на 4 дня раньше сроков .За сколько дней рабочий должен был выполнить задание?

Answer 1

Пусть х- количество дней, за которые рабочий должен был изготовить детали, тогда:
х-4 - кол-во дней, за которые изготовил.
х*20=(х-4)*22
20х=22х-88
2х=88
х=44 дня

Answer 2

Task Analysis

To solve this problem, we need to determine the number of days the worker was supposed to complete the task and the number of days it actually took to complete the task.

Given Information

- The worker was supposed to produce 20 parts daily. - By producing 2 extra parts per day, the worker completed the task 4 days ahead of schedule.

Calculating the Original Timeframe

Let's denote: - x as the number of days the worker was supposed to take to complete the task. - 20x as the total number of parts the worker was supposed to produce in x days.

Revised Timeframe

With the increased daily production: - The worker produced 20 + 2 = 22 parts per day. - The worker completed the task 4 days ahead of schedule, so the total time taken was x - 4 days.

Equating the Total Parts

We can equate the total parts produced in both scenarios: - 20x = 22(x - 4)

Solving for x

Let's solve for x to find the original number of days the worker was supposed to take to complete the task.

20x = 22(x - 4)

20x = 22x - 88

88 = 22x - 20x

88 = 2x

x = 44

Answer

The worker was supposed to complete the task in 44 days.