The pool fills up through two pipes in 6 hours. If water enters the pool only from the first pipe, it will fill
The pool fills up through two pipes in 6 hours. If water enters the pool only from the first pipe, it will fill up in 10 hours. How long will it take to fill the pool if water comes only from the second pipe?
Let us denote by x that part of the pool that the second pipe fills in 1 hour.
In the condition of the problem, it is said that the pool is filled with two pipes through two pipes in 6 hours, therefore, in 1 hour, the pool is filled with two pipes by 1/6 part.
It is also known that the pool will be filled from the first pipe in 10 hours, therefore, in 1 hour the pool is filled with the first pipe by 1/10 part, therefore, we can draw up the following equation:
x + 1/10 = 1/6.
We solve the resulting equation:
x = 1/6 – 1/10;
x = 1/15.
Thus, the second pipe will fill the entire pool in 15 hours.
Answer: The second pipe will fill the entire pool in 15 hours.