Question

Два заводи можуть виконати замовлення за 4 днi. Перший завод може виконати це замовлення за 12 днiв. За скiльки днiв може виконати це замовлення 2 завод? допоможiть будь ласка​

Answer 1

Ответ:

6

Пошаговое объяснение:

За единицу примем заказ.

1/4 - производительность двух заводов.

1/12 - производительность 1-го завода.

1/4 -1/12=3/12 -1/12=2/12=1/6 - производительность 2-го завода.

1 ÷1/6=6 дней понадобится 2-му заводу выполнить этот заказ.

Answer 2

Problem Analysis

We have two factories that can complete an order in 4 days together. The first factory can complete the order in 12 days. We need to determine how many days it will take for the second factory to complete the order.

Solution

Let's assume that the second factory can complete the order in x days.

If the first factory can complete the order in 12 days, then in one day it can complete 1/12th of the order. Similarly, if the second factory can complete the order in x days, then in one day it can complete 1/xth of the order.

Together, the two factories can complete the order in 4 days. So, in one day, they can complete 1/4th of the order.

To find out how many days it will take for the second factory to complete the order, we can set up the following equation:

1/12 + 1/x = 1/4

Let's solve this equation to find the value of x.

Equation Solving

To solve the equation, we can multiply both sides by 12x to eliminate the denominators:

12x * (1/12 + 1/x) = 12x * 1/4

Simplifying the left side of the equation:

x + 12 = 3x

Moving all the terms to one side of the equation:

3x - x = 12

2x = 12

Dividing both sides by 2:

x = 6

Answer

Therefore, the second factory can complete the order in 6 days.

Explanation

The equation 1/12 + 1/x = 1/4 represents the combined work rate of the two factories. The left side of the equation represents the work done by the two factories in one day, and the right side represents the work done in one day when the two factories work together. By solving the equation, we find that the second factory can complete the order in 6 days.