Question

Реши задачу уравнением через кран в бассейн вливается в минуту 300 литров воды через трубу для стока вытекает 8400 литров в час если работает одновременно кран исток бассейн наполняется за 12 часов Сколько литров воды вмещает бассейн?

Answer 1

300*60=18000л в час воды прибывает. 8400 убывает

Возьмем объем бассейна за x, тогда 

(300*60-8400)*12=х => 9600*12=х => x=115200

Answer 2

Problem Analysis

We are given that water is being poured into a pool through a tap at a rate of 300 liters per minute, and at the same time, water is flowing out of the pool through a drain at a rate of 8400 liters per hour. We need to find the capacity of the pool, i.e., the total amount of water it can hold.

Solution

Let's assume the capacity of the pool is C liters.

The tap is pouring water into the pool at a rate of 300 liters per minute, which is equivalent to 300 liters/minute * 60 minutes/hour = 18000 liters/hour.

The drain is removing water from the pool at a rate of 8400 liters per hour.

Since the tap and the drain are working simultaneously, the net rate at which water is being added to the pool is the difference between the rate at which water is being poured in and the rate at which it is being drained out.

So, the net rate of water being added to the pool is 18000 liters/hour - 8400 liters/hour = 9600 liters/hour.

We are given that the pool gets filled in 12 hours. Therefore, the total amount of water added to the pool is the net rate of water being added multiplied by the time taken to fill the pool.

Total water added = 9600 liters/hour * 12 hours = 115200 liters.

Hence, the capacity of the pool is 115200 liters.

Answer

The pool can hold 115200 liters of water.