Question

Первый рабочий выполняет заказ за 40 минут. Первый рабочий, работая вместе со вторым рабочим выполняют заказ за 8 минут. За сколько минут выполняет заказ второй рабочий? ​

Answer 1

W1 = 40M

W1 + W2 = 8M

Найти:

W2

(на укр пишу) Розвязання

W1 + W2= W1*W2/W1+W2

Заменним W2 на х

8=40*х/40+х |*x+40

8(x+40)=40x

8x+320=40x

8x-40x=-320

-32x=-320|*-1

x=320/32

x=10

Т.к. W2=x=10

Ответ:10

Answer 2

Ответ:

Второй рабочий выполняет  заказ за 10 минут

Пошаговое объяснение:

Первый рабочий выполняет заказ за 40 минут. Первый рабочий, работая вместе со вторым рабочим выполняют заказ за 8 минут. За сколько минут выполняет заказ второй рабочий? ​

Пусть второй рабочий выполняет заказ за Х минут.

За минуту он выполняет 1/Х часть заказа.

Первый за минуту 1/40 часть

Вместе они делают (1/40)+1/Х=1/8 части заказа за минуту. Это уравнение.   Преобразуем:  1/Х=5/40-1/40=4/40

1/х=1/10.   Значит весь заказ второй рабочий выполняет за 10 минут

Answer 3

Calculating the Time Taken to Complete an Order

To solve this problem, we can use the concept of "work done per unit time" to find the time taken by the second worker to complete the order when working alone.

Given: - First worker completes the order in 40 minutes. - First and second workers together complete the order in 8 minutes.

Let's denote the time taken by the second worker to complete the order as x minutes.

We can use the following equation to represent the work done: Work = Rate × Time

Calculating the Work Rate of Each Worker

Using the given information, we can calculate the work rate of the first worker and the combined work rate of the first and second workers.

- The work rate of the first worker is 1/40 of the order per minute. - The combined work rate of the first and second workers is 1/8 of the order per minute.

Setting Up the Equation

We can set up the equation based on the work rates to find the time taken by the second worker to complete the order when working alone.

The equation is: 1/40 + 1/x = 1/8

Solving for x

Solving the equation will give us the value of x, which represents the time taken by the second worker to complete the order when working alone.

x = 20 minutes

So, the second worker takes 20 minutes to complete the order when working alone.

This calculation is based on the concept of work rates and the given information about the time taken by the first worker and the combined time taken by both workers to complete the order.

(#1)