Question

Бассейн заполняется через две трубы за 6часов. Если вода поступает в бассейн только из первой трубы, то он наполнится за 10ч. За какое время наполнится бассейн, если вода поступает только из второй трубы??

Answer 1

Пример объем бассейна за единицу, получаем:
1/10+1/x=1/6
1/x=1/6-1/10
1/x=(10-6)/60
1/x=1/15
x=15
Ответ: бассейн наполнится только из второй трубы за 15 часов

Answer 2

Problem Analysis

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

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 used, the pool is filled in 6 hours: - x + y = 1/6 (equation 1)

2. When only the first pipe is used, the pool is filled in 10 hours: - x = 1/10 (equation 2)

We need to find the time it takes to fill the pool using only the second pipe, which means we need to find the value of y.

To solve this system of equations, we can substitute equation 2 into equation 1 to eliminate x:

1/10 + y = 1/6

Now, we can solve for y:

y = 1/6 - 1/10

Simplifying the right side of the equation:

y = 5/30 - 3/30

y = 2/30

Simplifying further:

y = 1/15

Therefore, the rate at which the second pipe fills the pool is 1/15 units per hour.

To find the time it takes to fill the pool using only the second pipe, we can use the formula:

Time = Volume / Rate

Since the volume of the pool is not given, we cannot determine the exact time it takes to fill the pool using only the second pipe. However, we can conclude that it will take longer than 6 hours (when both pipes are used) and shorter than 10 hours (when only the first pipe is used).

Please note that the exact time to fill the pool using only the second pipe cannot be determined without knowing the volume of the pool.

Answer

The time it takes to fill the pool using only the second pipe cannot be determined without knowing the volume of the pool. However, it will take longer than 6 hours (when both pipes are used) and shorter than 10 hours (when only the first pipe is used).