In 1 hour, both the pumps can drain 1 : 3 = 1/3 of the pool
And in an hour, the older pump can drain 1 : 7 = 1/7 of the pool
So in 1 hour, the newer pump will drain 1/3 - 1/7 = 4/21 of the pool
It will take the newer pump 1 : 4/21 = 21/4 hours to drain the pool on its own.