Question

Как объяснить ребенку решение задачи: 12 каменщиков построили 1 этаж за 28 дней, сколько каменщиков нужно, чтобы построить 2 этаж за 16 дней?

Answer 1

1/28 - произв-ть 12 рабочих в день
1/16 - должна стать произв-ть в день
12 - 1/28
? - 1/16
?=12 * 1/16 / (1/28)
?= 12/16 * 28
?=21 рабочий потребуется

Answer 2

Understanding the Problem

To explain the solution to a child, we need to break down the problem into simpler steps. Let's start by understanding the problem statement:

- 12 masons built 1 floor in 28 days. - We need to determine how many masons are required to build 2 floors in 16 days.

Analyzing the Problem

To solve this problem, we need to consider the relationship between the number of masons, the number of floors, and the time taken to complete the construction. We can use the concept of "work rate" to find the solution.

Work Rate Concept

The work rate is a measure of how much work can be done in a given time. In this problem, the work rate of the masons is the number of floors they can build in a specific time period.

Applying the Work Rate Concept

Let's assume that the work rate of the masons is constant. This means that the number of masons required to build a certain number of floors in a given time period will be the same.

In the given problem, we know that: - 12 masons built 1 floor in 28 days.

To find the work rate of the masons, we can divide the number of floors by the number of days: - Work rate of the masons = 1 floor / 28 days

Finding the Number of Masons for 2 Floors in 16 Days

Now, we need to determine how many masons are required to build 2 floors in 16 days.

Since the work rate of the masons is constant, we can use it to find the number of masons required for the new scenario.

To find the number of masons, we can multiply the work rate by the number of days and divide it by the number of floors: - Number of masons = (Work rate of the masons * Number of days) / Number of floors

Substituting the given values: - Number of masons = (1 floor / 28 days * 16 days) / 2 floors

Simplifying the equation: - Number of masons = 16 / 28 * 1 / 2

Calculating the result: - Number of masons = 8 / 28 = 4 / 14 = 2 / 7

Therefore, 2/7 of a mason is required to build 2 floors in 16 days.

Conclusion

To explain the solution to a child, you can say that if 12 masons can build 1 floor in 28 days, then 2/7 of a mason is required to build 2 floors in 16 days. This means that a little more than two masons are needed to complete the construction in the given time frame.

Please note that the above explanation assumes a constant work rate and may not reflect the real-world scenario accurately.