Question

Одна труба может наполнить бассейн водой за 5 часов, а другая за время, в 2 раза больше. Через сколько часов будет заполнен весь бассейн водой, если открыть одновременно две трубы? Какая часть бассейна будет наполнена водой за 2 часа?

Answer 1

Если 2 труба за 10 то бассейн будет заполнен за 7 30 мин потому что за 2ч 30 токо будет заполнена половина бассейна а потом после 5 часов будет заполнен всей бассейн.думаю что ха 2 ч

Answer 2

Problem Analysis

We are given two pipes, one of which can fill a pool in 5 hours, and the other takes twice as long. We need to determine how long it will take to fill the entire pool if both pipes are opened simultaneously. Additionally, we need to find out what fraction of the pool will be filled in 2 hours.

Solution

Let's assume that the first pipe can fill the entire pool in 5 hours. This means that in 1 hour, the first pipe can fill 1/5th of the pool.

Since the second pipe takes twice as long to fill the pool, it will take 10 hours to fill the entire pool. Therefore, in 1 hour, the second pipe can fill 1/10th of the pool.

When both pipes are opened simultaneously, the combined rate at which they fill the pool is the sum of their individual rates. So, in 1 hour, both pipes can fill 1/5th + 1/10th = 3/10th of the pool.

To find out how long it will take to fill the entire pool when both pipes are opened simultaneously, we can set up the following equation:

(3/10) * x = 1

Where 'x' represents the number of hours it takes to fill the pool when both pipes are opened simultaneously.

Solving this equation, we find that x = 10/3 hours, which is approximately 3.33 hours.

Therefore, it will take approximately 3.33 hours to fill the entire pool when both pipes are opened simultaneously.

Now, let's find out what fraction of the pool will be filled in 2 hours. Since both pipes together can fill 3/10th of the pool in 1 hour, they can fill 2 * (3/10) = 6/10th of the pool in 2 hours.

Therefore, 6/10th or 3/5th of the pool will be filled with water in 2 hours.

Conclusion

- When both pipes are opened simultaneously, it will take approximately 3.33 hours to fill the entire pool. - In 2 hours, 3/5th of the pool will be filled with water.

Please let me know if anything is unclear or if you need further assistance!