Question

6 дровосеков за 6 часов распилили 12 деревьев.Сколько деревьев 9 дровосеков распилит за 9 часов?Ответ.:?

Answer 1

Problem Analysis

We are given that 6 lumberjacks can cut 12 trees in 6 hours. We need to determine how many trees 9 lumberjacks can cut in 9 hours.

Solution

To solve this problem, we can use the concept of proportionality. If the number of lumberjacks is directly proportional to the number of trees cut and the time is directly proportional to the number of trees cut, we can set up a proportion to find the answer.

Let's denote the number of trees cut by 6 lumberjacks in 6 hours as T1. We can set up the following proportion:

6 lumberjacks / 9 lumberjacks = T1 trees / T2 trees

Since the number of lumberjacks is directly proportional to the number of trees cut, we can simplify the proportion to:

6 / 9 = T1 / T2

Simplifying further, we get:

2 / 3 = T1 / T2

To find T2, we can cross-multiply and solve for T2:

2 * T2 = 3 * T1

T2 = (3 * T1) / 2

Now, we know that T1 is 12 (as given in the problem), so we can substitute this value into the equation:

T2 = (3 * 12) / 2

T2 = 36 / 2

T2 = 18

Therefore, 9 lumberjacks can cut 18 trees in 9 hours.

Answer

9 lumberjacks can cut 18 trees in 9 hours.