Question

Если открыть одновременно первую и вторую трубу,то пустой бассейн наполнится за 1.5 часа.Одна первая труба наполняет пустой бассейн за 2.5 часа.За сколько засов наполняет пустой бассейн одна вторая труба?

Answer 1

1- объем бассейна
1/1,5=10/15=2/3- совместная производительность
1/2,5=10/25=2/5- производительность 1й трубы
2/3-2/5=10/15-6/15=4/15- - производительность 2й трубы

1:4/15=1*15/4=3,75ч- За столько часов наполняет пустой бассейн одна вторая труба

Answer 2

Problem Analysis

We are given the following information: - Opening both the first and second pipes simultaneously will fill an empty pool in 1.5 hours. - The first pipe alone fills the empty pool in 2.5 hours.

We need to determine how long it takes for the second pipe alone to fill the empty pool.

Solution

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

From the given information, we know that: - When both pipes are open, the pool fills in 1.5 hours. - When only the first pipe is open, the pool fills in 2.5 hours.

Using this information, we can set up the following equations:

Equation 1: (x + y) * 1.5 = 1 (since the pool fills in 1.5 hours when both pipes are open)

Equation 2: x * 2.5 = 1 (since the pool fills in 2.5 hours when only the first pipe is open)

We can solve these equations to find the values of x and y.

Solving the Equations

Let's solve Equation 2 for x:

x * 2.5 = 1

Dividing both sides by 2.5:

x = 1 / 2.5

Simplifying:

x = 0.4

Now, let's substitute this value of x into Equation 1:

(0.4 + y) * 1.5 = 1

Expanding:

0.6 + 1.5y = 1

Subtracting 0.6 from both sides:

1.5y = 1 - 0.6

Simplifying:

1.5y = 0.4

Dividing both sides by 1.5:

y = 0.4 / 1.5

Simplifying:

y = 0.2667

Therefore, the second pipe alone fills the empty pool in approximately 0.2667 hours.

Answer

The second pipe alone fills the empty pool in approximately 0.2667 hours.