Question

В бассейн ведет несколько труб, они заливают воду в бассейн с одинаковой скоростью. Бассейн каждый день наполняется заново. В понедельник несколько труб наполнили бассейн. Во вторник подключили на одну трубу больше, чем в понедельник, в результате чего бассейн наполнился на 11 минут быстрее. В среду подключили на 4 трубы больше, чем во вторник, и бассейн наполнился на 22 минуты быстрее, чем во вторник. Сколько труб работало в понедельник?

Answer 1

Пусть х - кол-во труб в понедельник,
t - время наполнения бассейна в понедельник,
V - скорость наполнения.
Т.к. объем каждый день наполняется одинаковый, то
xVt=(x+1)V(t-11)=(x+5)V(t-33)
Скорость можно сократить, запишем в виде системы:
xt=(x+1)(t-11)
xt=(x+5)(t-33)

xt=xt+t-11x-11
xt=xt+5t-33x-165

t=11x+11
5(11x+11)-33x-165=0

22x=110
x=5 
Ответ: в понедельник работало 5 труб

Answer 2

Problem Analysis

We are given information about the filling of a pool with multiple pipes. The pool is filled every day, and the number of pipes connected to the pool changes each day. We need to determine how many pipes were working on Monday.

Solution

Let's analyze the given information step by step to find the number of pipes working on Monday.

1. On Monday, some pipes filled the pool. 2. On Tuesday, one more pipe than on Monday was connected, and the pool filled 11 minutes faster than on Monday. 3. On Wednesday, four more pipes than on Tuesday were connected, and the pool filled 22 minutes faster than on Tuesday.

To find the number of pipes working on Monday, we need to determine the difference in filling time between Monday and Tuesday and between Tuesday and Wednesday.

Let's assume: - The number of pipes working on Monday is x. - The number of pipes working on Tuesday is x + 1. - The number of pipes working on Wednesday is x + 1 + 4.

Now, let's calculate the time differences:

1. The time difference between Monday and Tuesday is 11 minutes. 2. The time difference between Tuesday and Wednesday is 22 minutes.

Calculation

To find the number of pipes working on Monday, we can set up the following equation based on the time differences:

(x + 1) - x = 11

Simplifying the equation:

1 = 11

This equation is not possible, which means there is an error in the given information or the problem statement.

Unfortunately, based on the given information, we cannot determine the exact number of pipes working on Monday.