Answer:
10.5 hours.
Step-by-step explanation:
Please consider the complete question.
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Let t represent time taken by newer pump in hours to drain the pool on its own.
So part of pool drained by newer pump in one hour would be .
We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be .
Part of pool drained by both pumps working together in one hour would be .
Now, we will equate the sum of part of pool emptied by both pumps with and solve for t as:
Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.