A pool with a capacity of 240 m³ through the first pipe will be filled with water in 6 hours

A pool with a capacity of 240 m³ through the first pipe will be filled with water in 6 hours, and through the second pipe – in 3 hours. How many hours will the pool fill with water if water flows into the pool from both pipes at the same time?

First, let’s find how much water enters this pool through each of the pipes.

In the initial data for this task, it is reported that this pool has a capacity of 240 m ^ 3 and through the first pipe it will be filled with water in 6 hours, and through the second pipe in 3 hours, therefore, in 1 hour through the first pipe, 240/6 enters the pool = 40 m ^ 3 water, and through the second pipe – 240/3 = 80 m ^ 3 water.

Therefore, if water flows into the pool from both pipes at the same time, then in 1 hour 40 + 80 = 120 m ^ 3 of water will flow into the pool and the pool will be filled in 240/120 = 2 hours.

Answer: in 2 hours.



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