
5 маляров покрасят забор за 8 дней. За сколько дней его покрасят 10 маляров? с примерами


Ответы на вопрос




Problem Analysis
We are given that 5 painters can paint a fence in 8 days. We need to determine how many days it will take 10 painters to paint the same fence.Solution
To solve this problem, we can use the concept of man-days. A man-day represents the amount of work done by one person in one day.Let's assume that the total work required to paint the fence is represented by W. Since 5 painters can complete the work in 8 days, we can calculate the total man-days required as follows:
Total man-days = Number of painters * Number of days = 5 * 8 = 40 man-days
Now, we need to determine how many days it will take 10 painters to complete the same amount of work. Let's represent the number of days required by D. We can set up the following equation:
Number of painters * Number of days = Total man-days
Substituting the given values, we have:
10 * D = 40
Solving for D, we find:
D = 40 / 10 = 4
Therefore, it will take 10 painters 4 days to paint the same fence.
Example
Let's consider an example to illustrate this concept. Suppose we have a fence that requires 40 man-days of work to paint. If we have 5 painters, it will take them 8 days to complete the work. Now, if we increase the number of painters to 10, we can calculate the number of days required as follows:Number of painters * Number of days = Total man-days
10 * D = 40
D = 40 / 10 = 4
Therefore, with 10 painters, it will take 4 days to complete the work.
Conclusion
In conclusion, if 5 painters can paint a fence in 8 days, then it will take 10 painters

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