Question

Из неисправного крана капает вода. Андрей подставил под кранпол-литровую банку и заметил, что она наполнилась водой за 2/3 часаА) Сколько литров воды вытекает из этого крана в час? За сутки?Б) За какое время окажется полной подставленная под этот неисправный кран 2-литровая банка? 6-литровое ведро?помагите зарание спасибо!! РИШЕНИЕ ДРОБЯМИ))ОБЯЗАТЕЛЬНО))))

Answer 1

Из крана вода вытекает со скоростью $\frac{1}{2} : \frac{2}{3} = \frac{3}{4}$ (л/час)
За час вытечет $\frac{3}{4} \cdot 1= \frac{3}{4}$ (л)
За сутки вытечет $\frac{3}{4} \cdot 24=18$ (л)
2-литровая банка наполнится за $2 : \frac{3}{4} = \frac{8}{3}=2\frac{2}{3}$ (часа)
6-литровое ведро заполнится за $6 : \frac{3}{4} =8$ (часов)

Answer 2

To calculate the answers to your questions, we need to determine the rate at which water is dripping from the faulty faucet. Let's assume that the faucet drips at a constant rate.

A) How many liters of water leak from the faucet per hour? Per day?

To find the amount of water that leaks from the faucet per hour, we need to determine the volume of water that fills the 2/3 full jar in 2/3 of an hour. Since the jar is 2 liters, we can set up the following equation:

2/3 * x = 2

Solving for x, we find that x = 3/2 hours, which is equivalent to 1.5 hours. Therefore, the jar fills up with water in 1.5 hours.

To calculate the rate of water leakage per hour, we divide the volume of water (2 liters) by the time it takes to fill the jar (1.5 hours):

2 liters / 1.5 hours = 1.33 liters per hour.

To find the amount of water that leaks from the faucet per day, we multiply the rate per hour by the number of hours in a day:

1.33 liters per hour * 24 hours = 31.92 liters per day.

B) How long will it take for the 2-liter jar and the 6-liter bucket to fill up under the faulty faucet?

To determine the time it takes for the 2-liter jar to fill up, we divide the volume of the jar (2 liters) by the rate of water leakage per hour (1.33 liters per hour):

2 liters / 1.33 liters per hour ≈ 1.50 hours.

Therefore, it will take approximately 1.5 hours for the 2-liter jar to fill up.

To calculate the time it takes for the 6-liter bucket to fill up, we divide the volume of the bucket (6 liters) by the rate of water leakage per hour (1.33 liters per hour):

6 liters / 1.33 liters per hour ≈ 4.51 hours.

Therefore, it will take approximately 4.51 hours for the 6-liter bucket to fill up.

Please note that these calculations assume a constant rate of water leakage from the faucet.