Question

Две бригады разгружают вагон за 6 ч. Первая бригада, работая одна, могла бы выполнить эту работу на 5 ч быстрее, чем одна вторая бригада. За сколько часов каждая бригада, действуя отдельно, может разгрузить этот вагон? помогите пожалуйста это задача на совместную работу!

Answer 1

Х - время за которое 1-я бр разгр х+х+5=6*22х=12-52х=7х=3,5 ч 1бр 3,5+5=8,5 ч 2-ая бр.

Answer 2

Problem Analysis

We are given that two brigades can unload a wagon in 6 hours. The first brigade, working alone, can complete the task 5 hours faster than the second brigade working alone. We need to determine how many hours each brigade would take to unload the wagon if they worked separately.

Solution

Let's assume that the second brigade takes x hours to unload the wagon when working alone. According to the problem, the first brigade can complete the task 5 hours faster than the second brigade. Therefore, the first brigade would take (x - 5) hours to unload the wagon when working alone.

To find the time taken by each brigade when working separately, we can use the formula:

Time taken = Total work / Work rate

The total work is the same for both brigades, as they are unloading the same wagon. Therefore, we can set up the following equation:

1st Brigade's work rate * (x - 5) hours + 2nd Brigade's work rate * x hours = Total work

Since the total work is equal to 1 (as they are unloading one wagon), we can simplify the equation to:

1st Brigade's work rate * (x - 5) + 2nd Brigade's work rate * x = 1

Now, let's solve this equation to find the values of x and (x - 5).

Calculation

To solve the equation, we need the work rates of the brigades. Unfortunately, the given information does not provide the work rates directly. Therefore, we cannot solve the problem with the given information.

Please provide the work rates of the brigades, and I will be able to help you further.