Question

В городе на ремонте дороги длиной 164 км работали три бригады рабочих. 4 дня работала первая бригада из 7 рабочих. 5 дней - вторая бригада из 6 рабочих, и 3 дня - третья бригада из 8 рабочих. Сколько километров дороги отремонтировала каждая бригада?

Answer 1

4*7=28

5*6=30

3*8=24

Получаем соотношение: 28:30:24
28+30+24=82

164/82=2.

28*2=56

30*2=60

24*2=48

Answer 2

Road Repair by Each Brigade

To find out how many kilometers of road each brigade repaired, we can calculate the total work done by each brigade based on the number of days they worked and the number of workers in each brigade.

- First Brigade: Worked for 4 days with 7 workers. - Second Brigade: Worked for 5 days with 6 workers. - Third Brigade: Worked for 3 days with 8 workers.

Calculation

Let's calculate the work done by each brigade:

1. First Brigade: - Work done = 4 days * 7 workers = 28 worker-days 2. Second Brigade: - Work done = 5 days * 6 workers = 30 worker-days 3. Third Brigade: - Work done = 3 days * 8 workers = 24 worker-days

Total Work Done

The total work done by all three brigades is 28 + 30 + 24 = 82 worker-days.

Work Done per Kilometer

Given that the total length of road repaired is 164 km, we can calculate the work done per kilometer by dividing the total work done by the length of the road.

- Work done per kilometer = Total work done / Length of road - Work done per kilometer = 82 worker-days / 164 km - Work done per kilometer = 0.5 worker-days/km

Work Done by Each Brigade

Now, we can calculate the work done by each brigade based on the work done per kilometer:

1. First Brigade: - Work done = 0.5 worker-days/km * 28 worker-days = 14 km 2. Second Brigade: - Work done = 0.5 worker-days/km * 30 worker-days = 15 km 3. Third Brigade: - Work done = 0.5 worker-days/km * 24 worker-days = 12 km

Conclusion

Therefore, the first brigade repaired 14 kilometers of road, the second brigade repaired 15 kilometers of road, and the third brigade repaired 12 kilometers of road.