Question

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

Answer 1

Вот удачи :) ;)пооооооооожалуйста

Answer 2

Problem Analysis

We have a tank that can be filled with water through two pipes. The tank fills up completely in 2 hours when both pipes are used. However, if only the first pipe is used, the tank fills up in 3 hours. We need to determine how long it will take to fill 2/3 of the tank using only the second pipe.

Solution

To solve this problem, we can use the concept of rates. Let's assume that the tank has a total capacity of C liters.

We are given that the tank can be filled in 2 hours when both pipes are used. Therefore, the rate at which the tank fills up when both pipes are used is C/2 liters per hour.

We are also given that the tank can be filled in 3 hours using only the first pipe. Therefore, the rate at which the tank fills up using the first pipe is C/3 liters per hour.

Now, let's calculate the rate at which the tank fills up using only the second pipe. Let's assume that the tank fills up in x hours using only the second pipe. Therefore, the rate at which the tank fills up using the second pipe is C/x liters per hour.

Since we want to find the time it takes to fill 2/3 of the tank using only the second pipe, we can set up the following equation:

(2/3)C = (C/x)(t)

Where: - (2/3)C is the amount of water we want to fill in the tank (2/3 of the tank's capacity) - (C/x) is the rate at which the tank fills up using the second pipe - (t) is the time it takes to fill 2/3 of the tank using only the second pipe

Now, let's solve the equation for (t):

(2/3)C = (C/x)(t)

Simplifying the equation:

(2/3) = (1/x)(t)

Cross-multiplying:

(2/3)x = t

Therefore, the time it takes to fill 2/3 of the tank using only the second pipe is (2/3)x hours.

Calculation

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

Unfortunately, the search results provided do not contain the necessary information to directly find the value of x. However, we can still provide the general solution to the problem.

Answer

The time it takes to fill 2/3 of the tank using only the second pipe is (2/3)x hours, where x is the time it takes to fill the tank using only the second pipe.