Question

Бассейн емкостью 240 куб.м. через первую трубу наполнится водой за 6 часов, а через вторую трубу за 3 часа. За сколько часов бассейн наполнится водой, если в бассейн вода будет поступать из обеих труб одновременно?

Answer 1

240:6=40(куб/ч)-1 труба
240:3=80(куб/ч)-2 труба
240:(40+80)=240:120=2(ч)

Answer 2

1)240;6=40 (м) в кубе в час.
2)240:3=80 (м) в кубе в час.
3)80+60=140 (м) в час.
4)240:140=2 (м) два час.
Ответ: 2 часа.

Answer 3

Calculating the Time to Fill the Pool with Two Pipes

To calculate the time it takes to fill the pool when water is coming in from both pipes simultaneously, we can use the concept of work done. The work done by each pipe is directly proportional to the time it takes to fill the pool.

Let's denote: - T1 = time taken for the first pipe to fill the pool alone - T2 = time taken for the second pipe to fill the pool alone - T = time taken for both pipes to fill the pool together

The formula to calculate the time taken when both pipes are filling the pool simultaneously is given by: 1/T = 1/T1 + 1/T2

Applying the Formula

Given: - Time taken for the first pipe to fill the pool alone, T1 = 6 hours - Time taken for the second pipe to fill the pool alone, T2 = 3 hours

Using the formula: 1/T = 1/6 + 1/3

Solving for T: 1/T = 1/6 + 2/6 1/T = 3/6 1/T = 1/2

So, T = 2 hours

Therefore, when both pipes are filling the pool simultaneously, it will take 2 hours to fill the pool.