Question

Басейн наповнюється водою через дві труби за 6 год, а через одну трубу — за 10 год. За скільки годин може на­повнитися басейн, якщо відкрити тільки другу трубу? Виберіть одну відповідь: 12 год 4 год 15 год 16 год

Answer 1

Пусть за х ч. Тогда

1/10+1/х=1/6

1/10+1/х-1/6=0

3х+30-5х=0

-2х= -30

х=15

Значит за 15 ч.

Answer 2

Problem Analysis

We are given that a pool can be filled with water in 6 hours using two pipes, and in 10 hours using only one pipe. We need to determine how long it will take to fill the pool if only the second pipe is opened.

Solution

Let's assume that the pool has a capacity of 1 unit (this is an arbitrary assumption, as the capacity of the pool is not given in the question).

If the pool can be filled in 6 hours using two pipes, then the combined rate of the two pipes is 1/6 units per hour. Similarly, if the pool can be filled in 10 hours using only one pipe, then the rate of the second pipe alone is 1/10 units per hour.

To find the time it takes to fill the pool using only the second pipe, we can set up the following equation:

Rate of the second pipe * Time = Pool capacity

Let's solve this equation to find the time it takes to fill the pool using only the second pipe:

1/10 * Time = 1

Multiplying both sides of the equation by 10, we get:

Time = 10

Therefore, it will take 10 hours to fill the pool if only the second pipe is opened.

Answer

The pool will take 10 hours to fill if only the second pipe is opened.