Question

Бак наполнил водой через две трубы за 2 часа. Через первую трубу бак наполнил за 3 часа. За сколько времени 2- 3 объёма бака наполнился водой через втрорую трубку ?

Answer 1

1/3 бака через первую трубу за 1 час.
2*1/3 = 2/3 бака через первую трубу за 1 час.
1-2/3 = 1/3 бака через вторую трубу за 2 часа.
1/3:2 = 1/6 бака через вторую трубу за 1 час.
2/3:1/6 = 2/3*6 = 2*2 = 4 часа - вторая труба наполнит 2/3 бака.

Answer 2

Problem Analysis

We are given that a tank is filled with water through two pipes. The tank is filled in 2 hours when both pipes are used, and it is filled in 3 hours when only the first pipe is used. We need to determine how long it will take to fill 2/3 of the tank using only the second pipe.

Solution

Let's assume that the tank has a capacity of 1 unit (for simplicity).

When both pipes are used, the tank is filled in 2 hours. This means that the combined rate of both pipes is 1/2 units per hour.

When only the first pipe is used, the tank is filled in 3 hours. This means that the rate of the first pipe is 1/3 units per hour.

To find the rate of the second pipe, we subtract the rate of the first pipe from the combined rate of both pipes: Rate of second pipe = Combined rate - Rate of first pipe = 1/2 - 1/3 = 1/6 units per hour.

Now, we need to find the time it takes to fill 2/3 of the tank using only the second pipe.

Let's assume that it takes t hours to fill 2/3 of the tank using only the second pipe. Since the rate of the second pipe is 1/6 units per hour, we can set up the following equation:

(1/6) * t = 2/3

To solve for t, we can multiply both sides of the equation by 6:

t = (2/3) * 6 = 4 hours.

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

Answer

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