Question

за б) Ванна наполняется из двух кранов. Один из них с горячей, а второй с холодной водой. Из горячего крана ванна наполняется за 48 минут, а из холодного 30 минут. Сначала открыли кран с горячей водой. Через сколько времени надо открыть кран с холодной водой, чтобы к моменту наполнения ванны горячей воды в ней было в 1,5 раза больше, чем холодной?​

Answer 1

Ответ:

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Пошаговое объяснение:

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Answer 2

Problem Analysis

We are given that a bathtub is being filled with water from two faucets: one with hot water and the other with cold water. The bathtub fills up in 48 minutes when only the hot water faucet is open, and it fills up in 30 minutes when only the cold water faucet is open. We need to determine how long it will take to fill the bathtub with hot water to be 1.5 times the amount of cold water in the bathtub.

Solution

Let's assume that the amount of cold water required to fill the bathtub is represented by C liters, and the amount of hot water required to fill the bathtub is represented by H liters.

According to the given information, the hot water faucet fills the bathtub in 48 minutes, which means it fills H liters in 48 minutes. Therefore, the rate at which the hot water faucet fills the bathtub is H/48 liters per minute.

Similarly, the cold water faucet fills the bathtub in 30 minutes, which means it fills C liters in 30 minutes. Therefore, the rate at which the cold water faucet fills the bathtub is C/30 liters per minute.

To find the time it takes to fill the bathtub with hot water to be 1.5 times the amount of cold water, we can set up the following equation:

H = 1.5C

Now, let's calculate the time it takes to fill the bathtub with hot water to be 1.5 times the amount of cold water.

Calculation

To find the time it takes to fill the bathtub with hot water to be 1.5 times the amount of cold water, we need to find the value of H.

From the equation H = 1.5C, we can substitute the value of C with the amount of cold water required to fill the bathtub.

Let's assume that it takes T minutes to fill the bathtub with hot water to be 1.5 times the amount of cold water. Therefore, the hot water faucet fills H liters in T minutes.

Using the rates we calculated earlier, we can set up the following equation:

(H/48) * T = 1.5C

Substituting the value of H from the equation H = 1.5C, we get:

(1.5C/48) * T = 1.5C

Simplifying the equation, we get:

T = (1.5C * 48) / (1.5C/48)

Simplifying further, we get:

T = 48^2 / (1.5C/48)

Now, let's substitute the value of C with the amount of cold water required to fill the bathtub.

Calculation Continued

To find the amount of cold water required to fill the bathtub, we need to know the capacity of the bathtub. Unfortunately, that information is not provided in the question. Therefore, we cannot calculate the exact time it takes to fill the bathtub with hot water to be 1.5 times the amount of cold water without knowing the capacity of the bathtub.

If you have the capacity of the bathtub, please provide that information so that we can calculate the time it takes to fill the bathtub with hot water to be 1.5 times the amount of cold water.

If you have any further questions, please let me know.