Question

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

Answer 1

Объём бассейна, заполняющийся за 1 час через 2 труб равно 1/6 часть.
Объём бассейна, заполняющийся за 1 час через 1 трубы равно 1/10 часть.
1/10+X=1/6
x=5/30-3/30
x=2/30
x=1/15
Значит за 15 часов, если за 1 час 1/15 часть

Answer 2

Problem Analysis

We are given that a pool is being filled by two pipes, and it takes 6 hours to fill the pool when both pipes are used. We are also given that if only the first pipe is used, it takes 10 hours to fill the pool. We need to determine how long it will take to fill the pool if only the second pipe is used.

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: - When both pipes are used, the pool is filled in 6 hours. - When only the first pipe is used, the pool is filled in 10 hours.

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

Equation 1: 1/x + 1/y = 1/6 (Both pipes fill the pool in 6 hours) Equation 2: 1/x = 1/10 (Only the first pipe fills the pool in 10 hours)

To find the time it takes to fill the pool using only the second pipe, we need to solve for y in Equation 1.

Calculation

Let's solve the equations to find the values of x and y.

From Equation 2, we can simplify it to 1/x = 1/10. Solving for x, we get: x = 10.

Substituting the value of x into Equation 1, we get: 1/10 + 1/y = 1/6.

To solve for y, we can rearrange the equation as follows: 1/y = 1/6 - 1/10.

Simplifying the right side of the equation, we get: 1/y = (5 - 3)/30.

Further simplifying, we have: 1/y = 2/30.

To find y, we can take the reciprocal of both sides: y = 30/2.

Simplifying, we get: y = 15.

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

Answer

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