The pool is filled with water using two pipes. The filling of the pool only through the first pipe takes 22 minutes

The pool is filled with water using two pipes. The filling of the pool only through the first pipe takes 22 minutes longer than only through the second pipe. If both pipes work together, then the pool is filled in 1 hour. How long does it take to fill the pool through each pipe separately?

Let us denote by x the time of filling the pool with water through the second pipe, which means that the time of filling the pool through the first pipe occurs in (x + 22). Together they fill the pool with water in an hour, that is, in 60 minutes. Let’s make an equation and solve it:

x + (x + 22) = 60

2x + 22 = 60

2x = 60 – 22

2x = 38

x = 38/2

x = 19 (min) – the pool is filled through the second pipe.

19 + 22 = 41 (min) – the pool is filled through the first pipe.

Answer: 41 minutes time for filling the pool with water through the first pipe and 19 minutes for filling the pool through the second pipe.