Question

Одна бригада рабочих может заасфальтировать 18 км дороги за 30 дней, а другая-в 2 раза дольше.За сколько дней смогут заасфальтировать эту дорогу обе бригады,работая вместе?

Answer 1

1) производительность первой бригады 18/30=0,6 км в день

2) вторая бригада выполнит работу за 2*30=60 дней

3) производительность второй бригады 18/60=0,3 км в день

4) общая производительность 0,6+0,3=0,9

5) совместно работая обе бригады выполнят работу за 18/0.9=20 дней

Answer 2

18/30=3/5км - производительность одной бригады

18/(2*30)=18/60=3/10км - производительность другой бригады

3/5+3/10=6/5+3/10=9/10км/день - производительность обеих бригад

18*10/9=20 дней смогут заасфальтировать эту дорогу обе бригады,работая вместе

Answer 3

Calculation of the Time Required to Asphalt the Road

To determine the number of days required for both teams to asphalt the road together, we need to calculate the combined rate at which they work.

Let's assume that the first team can asphalt 18 km of road in 30 days. This means that their rate of work is 18 km / 30 days = 0.6 km/day.

The second team takes twice as long to asphalt the same distance. Therefore, their rate of work is 0.6 km/day ÷ 2 = 0.3 km/day.

To find the total time required for both teams to asphalt the road together, we can add their rates of work.

The combined rate of work for both teams is 0.6 km/day + 0.3 km/day = 0.9 km/day.

Now, we can calculate the time required for both teams to asphalt the road together.

Let's denote the number of days required as x.

The equation to represent this situation is:

18 km = 0.9 km/day × x days

Simplifying the equation, we have:

x = 18 km / 0.9 km/day

Solving for x, we find:

x = 20 days

Therefore, both teams working together will be able to asphalt the road in 20 days.

Conclusion

Both teams, working together, will be able to asphalt the road in 20 days.