Question

Помогите пож...Бассейн наполняеться через две трубы за 6ч .если вода поступает в только из первой трубы то он наполняеться за 10ч .за какое время наполниться бассейн .если вода поступает только из второй трубы!

Answer 1

1/10+1/х=1/6 6х-10х=60 4х=60 х=15час

Answer 2

Problem Analysis

We have a pool that can be filled by two pipes. 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. We need to find out how long it will take to fill the pool if only the second pipe is used.

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.

According to the problem, when both pipes are used, the pool is filled in 6 hours. This can be expressed as:

6(x + y) = 1 Similarly, when only the first pipe is used, the pool is filled in 10 hours. This can be expressed as:

10x = 1 We need to find out the time it takes to fill the pool using only the second pipe. Let's call this time t.

Using the formula for the rate of work (rate = work/time), we can express the time it takes to fill the pool using only the second pipe as:

t * y = 1 Now, we can solve these equations to find the value of t.

Solution Steps

1. From equation 2, we can find the value of x. 2. Substitute the value of x into equation 1 and solve for y. 3. Substitute the value of y into the equation t * y = 1 and solve for t.

Let's solve the equations step by step.

Step 1: Finding the value of x

From equation 2, we have:

10x = 1

Dividing both sides by 10, we get:

x = 1/10

Step 2: Finding the value of y

Substituting the value of x into equation 1, we have:

6(1/10 + y) = 1

Simplifying the equation, we get:

6/10 + 6y = 1

Subtracting 6/10 from both sides, we get:

6y = 1 - 6/10

Simplifying the right side of the equation, we get:

6y = 4/10

Dividing both sides by 6, we get:

y = 4/60 = 1/15

Step 3: Finding the value of t

Substituting the value of y into the equation t * y = 1, we have:

t * (1/15) = 1

Multiplying both sides by 15, we get:

t = 15

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

Answer

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

References

- Source not available.