Question

Бассейн наполняется водой через первую трубу за 4 час, а через вторую вся вода из него выливается за 4 1/2 час. за сколько часов наполнится весь бассейн, если одновременно открыть обе трубы​? напишите с решением и пояснениями, пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

За час первая наполняет на 1/4, а вторая выливает 1/4.5=2/9 бассейна.

Пусть x часов искомое, то

(1/4-2/9)x=1

(9-8)/36 *x=1

x=36 (часов)

Answer 2

Problem Analysis

We are given two pipes, one fills the pool with water in 4 hours, and the other drains the pool in 4 1/2 hours. We need to determine how long it will take to fill the entire pool if both pipes are opened simultaneously.

Solution

Let's assume that the capacity of the pool is C.

The first pipe fills the pool in 4 hours, which means it fills C/4 of the pool in 1 hour.

The second pipe drains the pool in 4 1/2 hours, which means it drains the entire pool in 4 1/2 hours. Therefore, it drains C/4.5 of the pool in 1 hour.

If both pipes are opened simultaneously, the net rate of filling the pool will be the difference between the rate of filling and the rate of draining.

Let's calculate the net rate of filling the pool per hour:

Net rate = (Rate of filling) - (Rate of draining)

Net rate = C/4 - C/4.5

To find the time it takes to fill the entire pool, we can divide the total capacity of the pool by the net rate of filling:

Time = C / (Net rate)

Let's substitute the values and solve for time.

Calculation

The given information does not provide the capacity of the pool. Without the capacity, we cannot calculate the time it takes to fill the entire pool. Could you please provide the capacity of the pool?