Question

К бассейну проведены три трубы. Первая и вторая труба наполняют бассейн за 2 часа, вторая и третья труба – за 3 часа, а первая и третья труба – за 4 часа. За какое время третья труба наполнит часть этого бассейна?

Answer 1

Ответ:

за 16 часоввввввввввввввв

Answer 2

Problem Analysis

The problem states that there are three pipes filling a pool. The first and second pipes can fill the pool in 2 hours, the second and third pipes can fill it in 3 hours, and the first and third pipes can fill it in 4 hours. We need to find out how long it will take for the third pipe to fill 1/8 of the pool.

Solution

Let's denote the rates of the first, second, and third pipes as A, B, and C respectively. We can use the formula: Rate × Time = Work Done

From the given information, we can set up the following equations: 1. A + B = 1/2 (as they fill the pool in 2 hours) 2. B + C = 1/3 (as they fill the pool in 3 hours) 3. A + C = 1/4 (as they fill the pool in 4 hours)

We can solve these equations to find the rates of each pipe.

Calculation

Adding all three equations, we get: 2A + 2B + 2C = 1/2 + 1/3 + 1/4 2A + 2B + 2C = 13/12

Now, we can find the value of A + B + C: A + B + C = (13/12) / 2 A + B + C = 13/24

Now, we can find the value of C: C = (A + B + C) - (A + B) C = 13/24 - 1/2 C = 13/24 - 12/24 C = 1/24

Answer

So, the rate of the third pipe C is 1/24 of the pool per hour. To find out how long it will take for the third pipe to fill 1/8 of the pool, we can use the formula: Time = Work / Rate Time = (1/8) / (1/24) Time = (1/8) × (24/1) Time = 3 hours

Therefore, the third pipe will fill 1/8 of the pool in 3 hours.