Question

Решите задачу:первая бригада может выполнить задание за 24 часа ,а второй за 48 часов . За сколькочасов совместной работы они могут выполнитьэто задание

Answer 1

1) 24:2=12(ч)работает 1 бригада           2)48:2=24(ч)работает 2 бригада              
3)12+24=36(Ч)сделают всю работу












) 24:2=12(ч) будет работать 1 бригада

Answer 2

Problem Analysis

We are given that the first brigade can complete a task in 24 hours and the second brigade can complete the same task in 48 hours. We need to determine how many hours it will take for them to complete the task together.

Solution

To solve this problem, we can use the concept of work rates. The work rate of a brigade is defined as the amount of work it can complete in one hour. Let's assume that the work rate of the first brigade is x and the work rate of the second brigade is y.

From the given information, we know that the first brigade can complete the task in 24 hours, so its work rate is 1/24 (since it completes 1 task in 24 hours). Similarly, the work rate of the second brigade is 1/48.

When the two brigades work together, their work rates are additive. So, the combined work rate of the two brigades is x + y.

We need to find the time it takes for the two brigades to complete the task together. Let's assume this time is t.

According to the work formula, work rate multiplied by time gives the amount of work done. In this case, the work done by the first brigade in time t is (1/24) * t, and the work done by the second brigade in time t is (1/48) * t.

Since the two brigades are working together, the total work done by them in time t is equal to the total work required to complete the task, which is 1.

Using this information, we can set up the following equation:

(1/24) * t + (1/48) * t = 1

Simplifying the equation, we get:

(1/24 + 1/48) * t = 1

Solving for t, we find:

t = 48/3 = 16

Therefore, it will take the two brigades 16 hours to complete the task together.

Answer

The first brigade can complete the task in 24 hours, the second brigade can complete the task in 48 hours, and together they can complete the task in 16 hours.