Question

Бассейн наполняется двумя трубами за 6 часов.если вода поступает в бассейн только из одной трубы,то он наполняется за 10 часов.за какое время наполнится бассейн,если вода поступает только из второй трубы?

Answer 1

Весь бассейн  - 1 (1 целая  =6/6=10/10)
1) 1:6= 1/6 бассейна в час  - заполняется через две трубы
2) 1:10= 1/10 бассейна в час - через первую трубу.
3) 1/6 - 1/10 = 10/60- 6/60=4/60 = 1/15  в час через вторую трубу.
4) 1:1/15= 1 * 15/1 = 15 часов  потребуется, чтобы заполнить бассейн только из второй трубы.
Ответ: 15 часов.

Answer 2

Problem Analysis

We are given that a pool can be filled by two pipes in 6 hours, and if only one pipe is used, it takes 10 hours to fill the pool. We need to determine how long it will take to fill the pool using only the second pipe.

Solution

Let's assume that the first pipe can fill the pool in x hours, and the second pipe can fill the pool in y hours.

From the given information, we know that: - Both pipes together can fill the pool in 6 hours. - Only the first pipe can fill the pool in 10 hours.

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

Equation 1: (1/x) + (1/y) = 1/6 (Both pipes together can fill the pool in 6 hours)

Equation 2: (1/x) = 1/10 (Only the first pipe can fill the pool in 10 hours)

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

Detailed Solution

Let's solve Equation 2 for x:

(1/x) = 1/10

Cross-multiplying, we get:

10 = x

So, the first pipe can fill the pool in 10 hours.

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

(1/10) + (1/y) = 1/6

Multiplying both sides of the equation by 60y (the least common multiple of 10 and 6), we get:

6y + 10y = 10y

Simplifying, we get:

16y = 60

Dividing both sides of the equation by 16, we get:

y = 60/16 = 3.75

So, the second pipe can fill the pool in 3.75 hours.

Therefore, if water is supplied only through the second pipe, it will take 3.75 hours to fill the pool.

Answer

If water is supplied only through the second pipe, the pool will be filled in 3.75 hours.