Question

через первую трубу бассейн наполняется за 2 часа, а через вторую - опорожняется за 3 часа.За какое время наполнится пустой бассейн, если одновременно открыть обе трубы?

Answer 1

3-2=1 (ч.) 

   P.S. я не уверена

 

 

 

 

 

 

 

Answer 2

Solution

To solve this problem, we can use the concept of "work done" by each pipe. The rate of work done by the first pipe is the reciprocal of the time it takes to fill the pool, and the rate of work done by the second pipe is the reciprocal of the time it takes to empty the pool.

Let's denote the rate of work done by the first pipe as R1 and the rate of work done by the second pipe as R2. The combined rate of work when both pipes are open is R1 - R2.

The time taken to fill the pool when both pipes are open can be calculated using the formula:

Time = Volume / (R1 - R2)

Given: - Time taken to fill the pool through the first pipe = 2 hours - Time taken to empty the pool through the second pipe = 3 hours

We need to find the time taken to fill the empty pool when both pipes are open.

Calculations

Let's calculate the rates of work done by each pipe: - Rate of work done by the first pipe (R1) = 1 pool / 2 hours = 1/2 pool per hour - Rate of work done by the second pipe (R2) = 1 pool / 3 hours = 1/3 pool per hour

Now, we can calculate the time taken to fill the empty pool when both pipes are open: - Time = Volume / (R1 - R2) - Time = 1 / ((1/2) - (1/3)) - Time = 1 / (1/6) - Time = 6 hours

Answer

Therefore, if both pipes are opened simultaneously, the empty pool will be filled in 6 hours.