Question

ПОМОГИТЕ ПОЖАЛУЙСТА! ! В бассейн подведены 3 трубы 1 труба пополняет бассейн водой за 6 ч, а 2 - за 8 ч по 3 трубе вода из наполненного бассейна вытекает за 4 ч полностью какая часть объема бассейна наполняется водой за час , если вода тнчёт одновременно по 3 трубам?

Answer 1

Вроде-192л(объём) третьей трубы,

Answer 2

Problem Analysis

We are given that there are 3 pipes connected to a pool. Pipe 1 fills the pool in 6 hours, pipe 2 fills the pool in 8 hours, and water drains out of the pool completely in 4 hours through pipe 3. We need to determine what fraction of the pool's volume is filled with water in one hour when all three pipes are open.

Solution

To solve this problem, we need to calculate the rate at which water is being added to the pool and the rate at which water is being drained from the pool. Then, we can find the net rate of filling by subtracting the rate of drainage from the rate of addition.

Let's assume that the volume of the pool is 1 unit (this is an arbitrary assumption, as the actual volume of the pool is not given). We can then calculate the rates of addition and drainage in terms of the volume of the pool per hour.

Calculation

- Pipe 1 fills the pool in 6 hours, so the rate of addition through pipe 1 is 1/6 units per hour. - Pipe 2 fills the pool in 8 hours, so the rate of addition through pipe 2 is 1/8 units per hour. - Pipe 3 drains the pool completely in 4 hours, so the rate of drainage through pipe 3 is 1 unit per 4 hours, or 1/4 units per hour.

To find the net rate of filling, we subtract the rate of drainage from the combined rate of addition through pipes 1 and 2:

Net rate of filling = (Rate of addition through pipe 1 + Rate of addition through pipe 2) - Rate of drainage through pipe 3

Net rate of filling = (1/6 + 1/8) - 1/4

Simplifying the expression:

Net rate of filling = (4/24 + 3/24) - 6/24

Net rate of filling = 7/24 - 6/24

Net rate of filling = 1/24 units per hour

Therefore, when all three pipes are open, 1/24 of the pool's volume is filled with water in one hour.

Answer

When all three pipes are open, 1/24 of the pool's volume is filled with water in one hour.