Question

Когда летом отключают горячую воду, Андрей набирает в ванну воду из бойлера, но тогда скорость наполнения ванные на 16 литров в минуту меньше, чем напрямую из водопровода. Какова скорость наполнения воды в литрах в минуту из водопровода, если в этом случае ванна объемом 105 литров заполняется на 4 минуты быстрее. СРОЧНО!!!

Answer 1

Ответ:

101

Пошаговое объяснение:

я думаю если не правильно то извините так это вышло у меня так 16÷4=4;

105-4=101

Answer 2

Calculation of Water Filling Speed

To calculate the water filling speed from the water supply directly, we can use the information provided in the question.

Let's assume that the water filling speed from the water supply directly is represented by x liters per minute.

According to the question, when Andrey fills the bathtub with water from the boiler, the filling speed is 16 liters per minute slower compared to filling it directly from the water supply.

Therefore, the filling speed from the boiler can be represented as (x - 16) liters per minute.

We are given that the bathtub has a volume of 105 liters and it fills 4 minutes faster when filled directly from the water supply compared to filling it from the boiler.

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

105 / (x - 16) = 105 / x - 4

To find the value of x, we can solve this equation.

Let's simplify the equation:

105 / (x - 16) = 105 / x - 4

Cross-multiplying:

105x = 105(x - 16) - 4x(x - 16)

Expanding and simplifying:

105x = 105x - 1680 - 4x^2 + 64x

Combining like terms:

0 = -4x^2 + 64x - 1680

Dividing the equation by -4 to simplify:

0 = x^2 - 16x + 420

Now, we can solve this quadratic equation to find the value of x.

Using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = 420.

Calculating the discriminant:

D = b^2 - 4ac = (-16)^2 - 4(1)(420) = 256 - 1680 = -1424

Since the discriminant is negative, the equation has no real solutions. This means that there is no value of x that satisfies the given conditions.

Therefore, it is not possible to determine the water filling speed from the water supply directly based on the information provided.

Please note that the information provided is based on the given question and the calculations made. If there is any additional information or clarification needed, please let me know.