Question

К баку вместимостью 2100л 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

400-50 = 350 (л) столько наливается воды с учетом пролива
2100: 350 =6 (часов) столько времени понадобится для наполнения бака.

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 from the tank.

According to the information provided, the pipe connected to the tank pours 400 liters of water into the tank every hour. However, there is also a hole at the bottom of the tank through which 50 liters of water are drained every hour.

To determine the time it takes to fill the tank completely, we need to find the net rate at which water is being poured into the tank. This can be calculated by subtracting the rate at which water is being drained from the rate at which water is being poured.

The net rate of water pouring into the tank per hour can be calculated as follows:

Net rate of water pouring into the tank = Rate of water pouring in - Rate of water draining out

Given: - Rate of water pouring in = 400 liters/hour - Rate of water draining out = 50 liters/hour

Substituting the values into the equation:

Net rate of water pouring into the tank = 400 - 50 = 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 pouring in:

Time to fill the tank = Tank capacity / Net rate of water pouring in

Given: - Tank capacity = 2100 liters - Net rate of water pouring in = 350 liters/hour

Substituting the values into the equation:

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

Therefore, it will take approximately 6 hours to fill the tank completely with water, considering the given rates of water pouring in and draining out.