Question

. Бак наполнится водой через две трубы за 2 ч. Через первую трубу бак наполнится за 3 ч. За сколько времени 2/3 объёма бака наполнятся водой через вторую трубу?​

Answer 1

Ответ:

Пошаговое объяснение:

1 : 2=1/2 часть бака наполняют обе трубы за 1 час

1 : 3=1/3 часть бака наполняет первая труба за 1 час

1/2-1/3= 3/6 - 2/6 = 1/6 часть бака наполняет вторая труба за 1 час

(2/3) : (1/6)= 2/3 * 6=12/3= 4 часа за столько времени 2/3 объёма бака наполнятся водой через вторую трубу

Answer 2

Ответ:

Пошаговое объяснение:

1) 1 : 2 = 1/2 (часть) - бака наполняют две трубы за 1 час одновременно

2) 1 : 3 = 1/3 (часть) - бака заполняет за 1 час 1 труба работая в одиночку

3) 1/2 - 1/3 = 3/6 - 2/6 = 1/6 (частьчасть) - бака заполняет за 1 час 2 труба работая в одиночку

4) 2/3 : 1/6 = 2/3 * 6/1 = 12/3 = 4 (часа) - заполнит 2/3 бака 2 труба

Ответ: 4 часа

Answer 3

Problem Analysis

We have a tank that will be filled with water through two pipes. The tank will be filled in 2 hours using both pipes, and it will be filled in 3 hours using the first pipe alone. We need to determine how long it will take to fill 2/3 of the tank using the second pipe.

Solution

Let's assume that the tank has a total volume of V liters.

We know that the tank can be filled in 2 hours using both pipes, so the rate of filling the tank using both pipes is V/2 liters per hour.

We also know that the tank can be filled in 3 hours using the first pipe alone, so the rate of filling the tank using the first pipe is V/3 liters per hour.

To find the rate of filling the tank using the second pipe alone, we subtract the rate of filling the tank using the first pipe from the rate of filling the tank using both pipes:

Rate of filling the tank using the second pipe alone = Rate of filling the tank using both pipes - Rate of filling the tank using the first pipe

Rate of filling the tank using the second pipe alone = V/2 - V/3 = (3V - 2V) / 6 = V/6 liters per hour.

Now, let's calculate the time it will take to fill 2/3 of the tank using the second pipe alone.

The volume of 2/3 of the tank is (2/3)V liters.

To find the time it will take to fill 2/3 of the tank using the second pipe alone, we divide the volume of 2/3 of the tank by the rate of filling the tank using the second pipe alone:

Time to fill 2/3 of the tank using the second pipe alone = (2/3)V / (V/6) = (2/3) * 6 = 4 hours.

Therefore, it will take 4 hours to fill 2/3 of the tank using the second pipe alone.

Answer: It will take 4 hours to fill 2/3 of the tank using the second pipe alone.