Question

Помогите пожалуйста решить задачу басейн наполняется водой через 2-е трубы за 6 часов . Есле вода поступает в басейн только из 1- ой трубы то он наполняется за 10 часов за кокое время наполнится босейн есле вода будет поступать только из 2-ой трубы??

Answer 1

За 10 часов но
наполнится 2 труба
потому что 6:2=3

Answer 2

Problem Analysis

We are given that a pool is being filled with water through two pipes. When both pipes are open, the pool fills up in 6 hours. When only the first pipe is open, the pool fills up in 10 hours. We need to determine how long it will take to fill the pool if only the second pipe is open.

Solution

Let's assume that the rate at which the first pipe fills the pool is x units per hour, and the rate at which the second pipe fills the pool is y units per hour.

From the given information, we can create the following equations:

1. When both pipes are open, the pool fills up in 6 hours: - The combined rate of both pipes is equal to the rate at which the pool fills up: x + y = 1/6 (equation 1).

2. When only the first pipe is open, the pool fills up in 10 hours: - The rate of the first pipe is equal to the rate at which the pool fills up: x = 1/10 (equation 2).

We need to find the time it takes to fill the pool when only the second pipe is open. Let's assume this time is t hours.

When only the second pipe is open, the rate at which the pool fills up is y units per hour. So, we can create the following equation:

3. When only the second pipe is open, the pool fills up in t hours: - The rate of the second pipe is equal to the rate at which the pool fills up: y = 1/t (equation 3).

To solve for t, we can substitute equation 2 into equation 1 to eliminate x:

1/10 + y = 1/6

Now, substitute equation 3 into the above equation to eliminate y:

1/10 + 1/t = 1/6

Simplifying this equation will give us the value of t, which represents the time it takes to fill the pool when only the second pipe is open.

Calculation

Let's solve the equation to find the value of t:

1/10 + 1/t = 1/6

Multiplying both sides of the equation by 60t (the least common multiple of 10 and 6) to eliminate the denominators:

6t + 60 = 10t

Simplifying the equation:

4t = 60

Dividing both sides of the equation by 4:

t = 15

Therefore, it will take 15 hours to fill the pool when only the second pipe is open.

Answer

If water is only supplied through the second pipe, it will take 15 hours to fill the pool.