Question

Два насоса работая одновременно, могут освободить бассейн от воды за 12 минут. Если первый насос отключить через 4 минуты после одновременного начала, то второй насос выкачает остальную воду за 24 минуты. Сколько нужно времени каждому насосу отдельно для этой работы? ПОМОГТЕ ПОЖАЛУЙСТА С РЕШЕНИЕМ И ОБЬЯСНЕНИЕМ ПОЖАЛУЙСТА

Answer 1

Пошаговое объяснение:

24 : 4=6(мин)

12:4=3

12:6=2

2*3=6

ответ : для каждого нососа по 6 минут

Answer 2

Problem Analysis

We are given that two pumps working together can empty a pool in 12 minutes. If the first pump is turned off after 4 minutes, the second pump will empty the remaining water in 24 minutes. We need to find the individual times required by each pump to empty the pool.

Solution

Let's assume that the first pump takes x minutes to empty the pool on its own, and the second pump takes y minutes to empty the pool on its own.

From the given information, we can create the following equation: 1/x + 1/y = 1/12 ---(1)

We also know that if the first pump is turned off after 4 minutes, the second pump will empty the remaining water in 24 minutes. This gives us the equation: 1/y = 1/24 ---(2)

Now, we can solve these two equations to find the values of x and y.

Solving the Equations

Let's solve equation (2) for y: 1/y = 1/24 y = 24

Substituting the value of y in equation (1): 1/x + 1/24 = 1/12 1/x = 1/12 - 1/24 1/x = 2/24 - 1/24 1/x = 1/24 x = 24

Answer

Therefore, the first pump takes 24 minutes to empty the pool on its own, and the second pump takes 24 minutes to empty the pool on its own.

Please let me know if I can help you with anything else.