Question

Чтобы выполнить задание в срок,рабочий должен был ежедневно изготовить20 деталей.Изготовляя в день на 2 детали больше,он выполнил задание на 4 дня раньше срока. За сколько дней рабочий должен был выполнить задание

Answer 1

Применены формулы взаимозависимости работы, времени и производительности

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of days it would take for a worker to complete a task if they produce 20 parts per day and increase their daily production by 2 parts. We also need to consider that by increasing their daily production by 2 parts, they were able to complete the task 4 days ahead of schedule.

Solution

Let's assume that it takes the worker x days to complete the task.

According to the given information, the worker produces 20 parts per day initially. If they increase their daily production by 2 parts, they would produce 20 + 2 = 22 parts per day.

To find the number of days it would take for the worker to complete the task, we can set up the following equation:

20x + 2(x - 4) = 20x

Simplifying the equation:

20x + 2x - 8 = 20x

2x - 8 = 0

2x = 8

x = 8/2

x = 4

Therefore, the worker would need to complete the task in 4 days.

Answer

The worker would need to complete the task in 4 days.