Question

Папа и сын должны покрасить забор длинной 36метров.папа может покрасить этот забор за 6часов ,а сын за 12часов .за сколько часов они покрасят этот забор ,если будут работать совместно,не мешая друг другу

Answer 1

36:(12+6)=3 вроде так

Answer 2

1)36:6=6(м/ч) - скорость папы
2)36:12=3(м/ч) - скорость сына
3)3+6=9(м/ч) - совместная скорость
4)36:9=4(ч)
Ответ: Папа и сын покрасят забор работая вместе за  4 часа

Answer 3

Problem Analysis

We are given that a father can paint a fence of length 36 meters in 6 hours, while his son can paint the same fence in 12 hours. We need to determine how long it will take for them to paint the fence together, without getting in each other's way.

Solution

To solve this problem, we can use the concept of work rates. The work rate is defined as the amount of work done per unit of time. In this case, the work is painting the fence, and the unit of time is hours.

Let's denote the work rate of the father as F (in meters per hour) and the work rate of the son as S (in meters per hour). We can calculate their work rates using the given information:

- The father can paint the fence of length 36 meters in 6 hours, so his work rate is F = 36 meters / 6 hours = 6 meters per hour. - The son can paint the same fence in 12 hours, so his work rate is S = 36 meters / 12 hours = 3 meters per hour.

Now, let's consider the scenario where the father and son are working together to paint the fence. Since they are working simultaneously and not getting in each other's way, their work rates can be added together to find the combined work rate.

The combined work rate is given by F + S. Substituting the values of F and S, we have:

Combined work rate = 6 meters per hour + 3 meters per hour = 9 meters per hour.

To find the time it will take for them to paint the fence together, we can use the formula:

Time = Work / Combined work rate.

In this case, the work is painting the fence of length 36 meters. Substituting the values, we have:

Time = 36 meters / 9 meters per hour = 4 hours.

Therefore, it will take the father and son 4 hours to paint the fence together, without getting in each other's way.

Answer

If the father and son work together without getting in each other's way, they will be able to paint the fence of length 36 meters in 4 hours.

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