Question

Бак наполниться водой через две трубы за 2 часа Через Первую трубу бак можно наполнить за 3 часа За сколько времени 2 3 объема бака наполняется водой через вторую трубу

Answer 1

1) 1:2=1/2 (бака) - обе трубы за час
2) 1:3=1/3 (бака) - первая труба за час
3) 1/2-1/3=(3-2)/6=1/6 (бака) - вторая труба за час
4) (2/3):(1/6)=(2*6)/3=4(ч)
Ответ: за 4 часа

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes to fill 2/3 of the tank using the second pipe. We know that both pipes together can fill the tank in 2 hours, and the first pipe alone can fill it in 3 hours.

Solution

Let's calculate the rate at which each pipe fills the tank per hour and then use that information to find the time it takes to fill 2/3 of the tank using the second pipe.

1. Rate of Filling for Each Pipe: - The combined rate of both pipes is 1 tank per 2 hours. - The first pipe's rate is 1 tank per 3 hours.

2. Rate of the Second Pipe: - We can find the rate of the second pipe by subtracting the rate of the first pipe from the combined rate of both pipes.

3. Time to Fill 2/3 of the Tank with the Second Pipe: - Once we have the rate of the second pipe, we can use it to calculate the time it takes to fill 2/3 of the tank.

Let's proceed with the calculations.

Calculations

1. Rate of Filling for Each Pipe: - Combined rate of both pipes: 1 tank / 2 hours - Rate of the first pipe: 1 tank / 3 hours

2. Rate of the Second Pipe: - Combined rate - Rate of the first pipe = Rate of the second pipe - 1/2 - 1/3 = 3/6 - 2/6 = 1/6 tank per hour

3. Time to Fill 2/3 of the Tank with the Second Pipe: - Let's denote the time it takes to fill 2/3 of the tank with the second pipe as T. - Using the formula: Rate × Time = Work - (1/6) × T = 2/3 - T = (2/3) ÷ (1/6) - T = (2/3) × 6 - T = 4 hours

Answer

The time it takes to fill 2/3 of the tank with the second pipe is 4 hours.