Question

Помогите решить задачу. подводящая труба может наполнить бассейн за 15 минут, а отводящая труба может выпустить воду из бассейна за 10 минут. Когда бассейн был полон, по ошибке начали работать обе трубы. Через сколько минут бассейн будет пуст?

Answer 1

25. 12345678901234567890

Answer 2

Problem Analysis

We are given that the filling pipe can fill the pool in 15 minutes, and the draining pipe can empty the pool in 10 minutes. We need to determine how long it will take for the pool to be empty if both pipes are working simultaneously.

Solution

To solve this problem, we can use the concept of rates. Let's assume that the pool has a capacity of 1 unit (it could be any unit of measurement).

The filling pipe can fill the pool at a rate of 1/15 units per minute, while the draining pipe can empty the pool at a rate of 1/10 units per minute.

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

The net rate of filling the pool is (1/15 - 1/10) units per minute, which simplifies to 1/30 units per minute.

To determine how long it will take for the pool to be empty, we need to find the time it takes for the net rate to fill the pool to be equal to zero. This occurs when the pool is empty.

Let's denote the time it takes for the pool to be empty as t minutes.

Using the formula: Rate × Time = Amount, we can set up the equation:

(1/30) × t = 1

Solving for t, we find:

t = 30 minutes

Therefore, it will take 30 minutes for the pool to be empty if both the filling and draining pipes are working simultaneously.

Answer

The pool will be empty after 30 minutes if both the filling and draining pipes are working simultaneously.

Please let me know if I can help you with anything else.