Question

Если бассейн наполняется через первую трубу за 3 часа, а через вторую за 4 часа, то за 1 час совместной работы обеих труб он заполнится на?

Answer 1

1) 1 ÷ 3 = 1/3
2) 1 ÷ 4 = 1/4
3) 1/3 + 1/4 = 4/12 + 3/12 = 7/12 
4) 12 ÷ 7 = 1(ч) 42(мин) - время, которое потребуется двум трубам
Ответ: 1 час 42 минуты.

Answer 2

1) 1 ÷ 3 = 1/3 - производительность первой трубы.
2) 1 ÷ 4 = 1/4 - производительность второй трубы.
3) 1/3 + 1/4 = 4/12 + 3/12 = 7/12 - производительность двух труб, работающих одновременно.
4) 12 ÷ 7 = 1(ч) 42(мин) - время, которое потребуется двум трубам, чтобы заполнить бассейн.
Ответ: 1 час 42 минуты.

Удачи в учёбе!

Answer 3

Calculating the Combined Work of Two Pipes

To calculate the time it takes for both pipes to fill the pool together, we can use the concept of work done. The rate of work of each pipe can be represented as the fraction of the pool filled per hour.

Let's denote the rate of work for the first pipe as R1 and the rate of work for the second pipe as R2. The combined rate of work when both pipes are working together is R1 + R2.

Applying the Rates to the Problem

Given that the first pipe fills the pool in 3 hours and the second pipe fills it in 4 hours, we can calculate their individual rates of work.

The rate of work for the first pipe (R1) is 1/3 of the pool per hour, and the rate of work for the second pipe (R2) is 1/4 of the pool per hour.

Calculating the Combined Rate of Work

To find the combined rate of work when both pipes are working together, we add their individual rates:

R1 + R2 = 1/3 + 1/4

Now, we can calculate the combined rate of work.

Calculating the Combined Time to Fill the Pool

To find the time it takes for both pipes to fill the pool together, we can use the combined rate of work. The time it takes for both pipes to fill the pool together can be calculated using the formula:

Time = 1 / (R1 + R2)

Substituting the combined rate of work into the formula, we get:

Time = 1 / (1/3 + 1/4)

Solving this equation will give us the time it takes for both pipes to fill the pool together.

Conclusion

By calculating the combined rate of work and applying it to the formula for combined time, we can determine the time it takes for both pipes to fill the pool together.