One pipe fills the pool in 5 hours, and through the second it can be emptied in 6 hours.

| January 3, 2021 | education

One pipe fills the pool in 5 hours, and through the second it can be emptied in 6 hours. How long will it take to fill the pool if both pipes are opened simultaneously?

1. Determine which part of the pool is filled with a pipe in one hour. To do this, make up a fraction, in the numerator of which we indicate one hour, and in the denominator the number of hours required for the pipe to fill the entire pool. We get the fraction 1/5.
2. Determine which part of the pool the second pipe empties in one hour. To do this, similarly compose a fraction, and get 1/6.
3. Determine which part of the pool is filled in an hour, if both pipes are opened simultaneously:
1/5 – 1/6 = 6/30 – 5/30 = 1/30.
4. Determine in how many hours the pool will be filled:
30/1 = 30 hours.
Answer: after 30 the pool will be filled.



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