Question

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

Answer 1

) 1:2=1/2 (бака) - наполняют обе трубы за 1 час2) 1:3=1/3 (бака) - наполняет первая труба за 1 час3) 1/2-1/3=(3-2)/6=1/6 (бака) - наполняет вторая труба за 1 час4) (2/3):(1/6)=(2*6)/3=4 (ч.)Ответ: две трети объёма бака наполнятся через вторую трубу за 4 часа.

Answer 2

1:2=1/2 (бака) - наполняют обе трубы за 1 час2) 1:3=1/3 (бака) - наполняет первая труба за 1 час3) 1/2-1/3=(3-2)/6=1/6 (бака) - наполняет вторая труба за 1 час4) (2/3):(1/6)=(2*6)/3=4 (ч.)Ответ: две трети объёма бака наполнятся через вторую трубу за 4 часа.

Answer 3

Problem Analysis

We are given that a tank can be filled with water in 2 hours using two pipes, and that the tank can 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 capacity of the tank is C liters.

We are given that the tank can be filled with water in 2 hours using two pipes. Therefore, the combined rate of filling the tank using both pipes is C/2 liters per hour.

We are also given that the tank can be filled in 3 hours using the first pipe alone. Therefore, the rate of filling the tank using the first pipe alone is C/3 liters per hour.

To find the time it takes to fill 2/3 of the tank using the second pipe, we need to determine the rate at which the second pipe fills the tank.

Let's assume that the rate of filling the tank using the second pipe alone is x liters per hour.

According to the problem, the combined rate of filling the tank using both pipes is C/2 liters per hour. Therefore, we can write the following equation:

C/3 + x = C/2

To solve for x, we can multiply both sides of the equation by 6 (the least common multiple of 3 and 2):

2C + 6x = 3C

Simplifying the equation, we get:

6x = C

Therefore, the rate of filling the tank using the second pipe alone is C/6 liters per hour.

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

Time = (2/3)C / (C/6) = 4 hours

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

Answer

It will take 4 hours to fill 2/3 of the tank with water using the second pipe.