I have a pool pump that is running off a 240v/20amp breaker. I need to install a timer box to this (no problem) but then I need to put it on a 60 minute dial timer for the residents at the pool to use. I have to install the timer box to set between 9am-9pm and then put a an on/off switch in line with that. How do I do this?

What residents? Is this a rental house?

I am kind of confused as to where you want to put the 60 minute time and why.

What residents? Is this a rental house?

I am kind of confused as to where you want to put the 60 minute time and why.

It is at a clubhouse in a subdivision. The property manager wants a to put a timer box on the fountain to the pool so it will only be on a certain time of day, but then does not want it to run all the time. For example, the timer box will be set between the times of 9-9 during the day to give the fountain power, but then to run the fountain you have to turn the 60 minute time and it will shut off.

Buy a 2 pole relay contactor rated for at least 20 amps with a 120 volt coil. You will need to find120volts for the coil. Install this relay after the timer box. Run your 240volt wires into the top screws of the contactor from the timer then connect the outgoing wires to the bottom screws of the contactor. On your 120volt coil run your neutral wire to one side of the coil and then run your hot wire to the switch and then back to the other side of the coil. Every time the dial timer is turned on it will engage the relay and disengage after alloted time.

It is at a clubhouse in a subdivision. If that is the case shouldn't he have a licensed electrician do this work?
A public pool is no place to fool around if you are not 100% certain of your abilities and of what you are doing.
It is also a not a place for unlicensed and uninsured work.

Sorry, I am going to have to bow out of this one.

This will require 2 pole 240 volt time clock to be hard wired into the circuit.

See Intermatic's pool control website:
Pool & Spa Products | Pool And Spa Controls by Intermatic (http://www.poolandspacontrols.com/products.aspx)

Only a licensed and qualified installer should be doing this.