Question

Помогите решить задачу! Первая бригада рабочих может посадить 600 деревьев за 10 дней, вторая-за 15 дней, третья-за 12 дней. За сколько дней могут посадить эти деревья три бригады, работая вместе?

Answer 1

1) 600:10= 60
2) 600:15= 40 дер за один день
3) 600:12=50 дер за 1 день
три бригады вместе за 1 день  60+40+50=150
6006150=4 дня
ответ за 4 дня 

Answer 2

1) 600:10=60( д./д)-производительность 1-ой бригады

2)600:15=40(д/д)- производительность 2-ой бригады

3)600:12=50(д/д)-производительность 3-ей бригады

4)60+40+50=150(д/д)- общяя производительность

5)600:150=4(д)

Ответ:за 4 дня могут посадить эти деревья три бригады, работая вместе.

Answer 3

Problem Analysis

We are given the information that the first team of workers can plant 600 trees in 10 days, the second team can plant 600 trees in 15 days, and the third team can plant 600 trees in 12 days. We need to determine how many days it will take for all three teams to plant the trees together.

Solution

To solve this problem, we can use the concept of "work done" or "work rate." The work done is the number of trees planted, and the work rate is the number of trees planted per day.

Let's calculate the work rate for each team: - The first team can plant 600 trees in 10 days, so their work rate is 600 trees / 10 days = 60 trees per day. - The second team can plant 600 trees in 15 days, so their work rate is 600 trees / 15 days = 40 trees per day. - The third team can plant 600 trees in 12 days, so their work rate is 600 trees / 12 days = 50 trees per day.

Now, let's calculate the combined work rate of all three teams: - The combined work rate is the sum of the individual work rates. So, the combined work rate is 60 trees per day + 40 trees per day + 50 trees per day = 150 trees per day.

Finally, let's calculate the number of days it will take for all three teams to plant the trees together: - The total number of trees to be planted is 600 trees. - The number of days it will take is the total number of trees divided by the combined work rate. So, the number of days is 600 trees / 150 trees per day = 4 days.

Therefore, it will take all three teams working together 4 days to plant the trees.

Answer

It will take all three teams working together 4 days to plant the trees.

Verification

Let's verify the solution using the given information: - The first team can plant 600 trees in 10 days, so in 4 days, they can plant 600 trees / 10 days * 4 days = 240 trees. - The second team can plant 600 trees in 15 days, so in 4 days, they can plant 600 trees / 15 days * 4 days = 160 trees. - The third team can plant 600 trees in 12 days, so in 4 days, they can plant 600 trees / 12 days * 4 days = 200 trees. - The total number of trees planted in 4 days is 240 trees + 160 trees + 200 trees = 600 trees.

The calculated values match the given information, so the solution is correct.

Conclusion

All three teams working together can plant the trees in 4 days.