Question

Помоги Аджи решить задачу. Запиши ответ. 36 деревьев дедушка сможет посадить за 6 часов, а внук - за 12 часов. За сколько часов дедушка и внук посадят эти деревья, работая вместе? Ответ: за часа. Подумай, сколько деревьев дедушка может посетить за один час. А внук за один час? Сколько вместе они посадят за один час? Сколько им понадобится времени, чтобы вместе посадить 36 деревьев? ДОЛЖНО БЫТЬ 4 ДЕЙСТВИЯ СРОЧНО ПЖЖЖ

Answer 1

Ответ: 4 часа

Пошаговое объяснение:

36:6=6(деревьев в час) -- дедушка

36:12=3(дерева в час) -- внук

3+6=9(деревьев в час) -- вместе

36:9=4 (часа)

Answer 2

Problem Analysis

We are given that the grandfather can plant 36 trees in 6 hours, and the grandson can plant 36 trees in 12 hours. We need to determine how many hours it will take for them to plant the trees together.

Solution

To solve this problem, we can use the concept of work rates. The work rate is the amount of work done per unit of time. In this case, the work is measured in the number of trees planted, and the time is measured in hours.

Let's denote the work rate of the grandfather as G (in trees per hour) and the work rate of the grandson as V (in trees per hour). We can calculate their work rates using the given information.

The grandfather can plant 36 trees in 6 hours, so his work rate is: G = 36 trees / 6 hours = 6 trees per hour.

Similarly, the grandson can plant 36 trees in 12 hours, so his work rate is: V = 36 trees / 12 hours = 3 trees per hour.

Now, let's determine how many trees they can plant together in one hour. We can add their work rates to get the combined work rate: G + V = 6 trees per hour + 3 trees per hour = 9 trees per hour.

Therefore, the grandfather and the grandson can plant 9 trees per hour when working together.

To find out how many hours it will take for them to plant 36 trees together, we can divide the total number of trees (36) by their combined work rate (9 trees per hour): Time = Total trees / Combined work rate = 36 trees / 9 trees per hour = 4 hours.

Therefore, it will take them 4 hours to plant 36 trees together.

Answer

The grandfather and the grandson will be able to plant these trees together in 4 hours.

Explanation

To solve this problem, we used the concept of work rates. The work rate is the amount of work done per unit of time. We calculated the work rates of the grandfather and the grandson based on the given information. Then, we determined their combined work rate when working together. Finally, we divided the total number of trees by their combined work rate to find out how many hours it will take for them to plant the trees together.