Question

К баку вместимостью 2100 л подведена труба через которую наливается по 400 л воды каждый час на дне бака образовалось отверстие через которое каждый час выливается 50 л воды через сколько часов бак будет полностью заполнен водой

Answer 1

2100:(400-50)=2100:350=6 (через 6 часов бак наполнится водой)                           2 способ: 400-50=350 л воды будет в баке через 1 час                                                            2100:350=6ч (через 6 часов наполнится) 

Answer 2

Calculation of Time to Fill the Tank

To calculate the time it takes to fill the tank, we need to consider the rate at which water is being poured into the tank and the rate at which water is being drained out of the tank.

According to the information provided, the tank has a capacity of 2100 liters and water is being poured into the tank at a rate of 400 liters per hour. Additionally, there is a hole at the bottom of the tank through which water is being drained out at a rate of 50 liters per hour.

To determine the time it takes to fill the tank completely, we can calculate the net rate of water being added to the tank per hour. This can be done by subtracting the rate at which water is being drained from the rate at which water is being poured into the tank.

Net rate of water added to the tank per hour = Rate of water poured in - Rate of water drained out

Net rate of water added to the tank per hour = 400 liters/hour - 50 liters/hour = 350 liters/hour

Now, we can calculate the time it takes to fill the tank completely by dividing the tank's capacity by the net rate of water being added to the tank per hour.

Time to fill the tank = Tank capacity / Net rate of water added to the tank per hour

Time to fill the tank = 2100 liters / 350 liters/hour = 6 hours

Therefore, it will take approximately 6 hours to fill the tank completely with water.

Please note that the calculations provided are based on the information given and may not account for factors such as variations in the pouring and draining rates over time.