Question

Бассейн заполняется через 2 трубы за 3 часа. Если открыть одну первую трубу, то бассейн наполнится за 6 часов. За сколько времени наполнится бассейн через одну вторую трубу?

Answer 1

1)пусть через вторую заполнится за х часов
2)1/6 скорость заполнения первой трубы
3)1/х скорость заполнения второй трубы
4)1/6+1/х=(х+6)/6х - их общая скорость заполнения
5)1/(х+6)/6х)=3
6х=3(х+6)
6х=3х+18
3х=18
х=6 часам
Ответ за 6 часов

Answer 2

Problem Analysis

We are given that a pool can be filled in 3 hours using two pipes, and if only one of the pipes is opened, it takes 6 hours to fill the pool. We need to determine how long it would 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 can set up the following equations:

Equation 1: 1/x + 1/y = 1/3 (since the pool can be filled in 3 hours using both pipes)

Equation 2: 1/y = 1/6 (since the pool can be filled in 6 hours using only the first pipe)

To solve this system of equations, we can rearrange Equation 2 to solve for y:

1/y = 1/6 y = 6

Now, we can substitute the value of y into Equation 1 and solve for x:

1/x + 1/6 = 1/3 1/x = 1/3 - 1/6 1/x = 2/6 - 1/6 1/x = 1/6 x = 6

Therefore, the first pipe can fill the pool in 6 hours, and the second pipe can fill the pool in 6 hours as well.

Answer

The pool will be filled in 6 hours using only the second pipe.