Question

6 бригад проклали 54 км дороги. Скільки кілометрів дороги прокладуть 8 бригады, якщо всі бригади працюють з одноковою продуктивністю?

Answer 1

По условию задачи все бригады прокладывают одинаковое количество км дороги. Значит одна бригада прокладывает

1) 54 : 6 = 9 км

2) 9 * 8 = 72 км

Ответ: 8 бригад проложат 72 км

Answer 2

Calculation of Road Construction by Multiple Brigades

To calculate the total distance of road construction by multiple brigades, we can use the concept of proportionality. If 6 brigades laid 54 km of road, we can find out how many kilometers of road 8 brigades will lay if all brigades work with the same productivity.

Let's denote the distance of road laid by 6 brigades as D6 and the distance to be laid by 8 brigades as D8.

Using the concept of proportionality, we can set up the following equation:

D6 / 6 = D8 / 8

Solving for D8:

D8 = (D6 / 6) * 8

Now, we can substitute the given values to find the distance of road to be laid by 8 brigades.

Given: - D6 = 54 km - Number of brigades for D6 = 6 - Number of brigades for D8 = 8

Substitute the values: D8 = (54 / 6) * 8

D8 = 72 km

So, if all brigades work with the same productivity, 8 brigades will lay 72 kilometers of road.