Question

4. Первая труба заполняет бассейн за 12 часов, а вторая труба заполнит этот же бассейн за 8 часов. За сколько часов заполнят бассейн обе трубы, работая одновременно? пожалуйста помогите с условием и решением.​

Answer 1

Ответ:

12

Пошаговое объяснение:

12×8=96 отметь наилудшее плис я старалась

Answer 2

Problem Statement

Two pipes can fill a pool. The first pipe can fill the pool in 12 hours, and the second pipe can fill the same pool in 8 hours. The question is: how long will it take for both pipes to fill the pool if they work simultaneously?

Solution

To solve this problem, we can use the concept of work rates. The work rate of a pipe is the fraction of the pool it can fill in one hour.

Let's denote: - The work rate of the first pipe as R1 (fraction of the pool filled per hour) - The work rate of the second pipe as R2 (fraction of the pool filled per hour)

The work rate can be calculated using the formula: \[ \text{Work rate} = \frac{1}{\text{Time taken to fill the pool}} \]

Using this formula, we can calculate the work rates for both pipes: \[ R1 = \frac{1}{12} \] \[ R2 = \frac{1}{8} \]

When both pipes work simultaneously, their work rates add up: \[ \text{Combined work rate} = R1 + R2 \]

Finally, we can use the combined work rate to find the time it takes for both pipes to fill the pool: \[ \text{Time taken} = \frac{1}{\text{Combined work rate}} \]

Let's calculate the combined work rate and the time taken for both pipes to fill the pool.

Calculation

\[ R1 = \frac{1}{12} = 0.0833 \text{ pool/hour} \] \[ R2 = \frac{1}{8} = 0.125 \text{ pool/hour} \]

\[ \text{Combined work rate} = R1 + R2 = 0.0833 + 0.125 = 0.2083 \text{ pool/hour} \]

\[ \text{Time taken} = \frac{1}{0.2083} \approx 4.8 \text{ hours} \]

Answer

Both pipes, working simultaneously, will fill the pool in approximately 4.8 hours.