Question

Из неисправного крана за час вытекает 20 литров воды. Наполнится ли за 24 мин с той же пропускной способностью подставленная под кран 9-литровая кастрюля?

Answer 1

60/20=3(мин) - вытекает 1 литр
24/3=8(л) - вытечет за 24 минуты
Ответ: не наполнится

Answer 2

Calculation of Water Filling Time

To determine if a 9-liter pot will be filled within 24 minutes with a faulty faucet that leaks 20 liters of water per hour, we need to calculate the time it takes to fill the pot.

Given: - The faulty faucet leaks 20 liters of water per hour. - We want to know if a 9-liter pot will be filled within 24 minutes.

To calculate the time it takes to fill the pot, we can use the following formula:

Time = Volume / Flow Rate

Where: - Time is the time it takes to fill the pot. - Volume is the volume of the pot. - Flow Rate is the rate at which water leaks from the faucet.

Let's calculate the time it takes to fill the pot:

Time = 9 liters / (20 liters/hour)

To convert the flow rate from liters per hour to liters per minute, we divide by 60:

Time = 9 liters / (20 liters/hour) * (1 hour / 60 minutes)

Simplifying the equation:

Time = 9 liters / (20/60) liters/minute

Time = 9 liters / (1/3) liters/minute

Time = 9 liters * (3/1) liters/minute

Time = 27 minutes

According to the calculations, it will take 27 minutes to fill a 9-liter pot with a faulty faucet that leaks 20 liters of water per hour. Therefore, the pot will not be filled within 24 minutes.

Please note that the calculations are based on the assumption that the flow rate remains constant throughout the filling process and that there are no other factors affecting the filling time.