Help needed for outdoor stereo with no electricity


We have a family lake picnic pavilion about 2 miles from the nearest power pole. I'm no electrical engineer and could use some help.

-for power I have
Sealed Deep-Cycle Interstate battery
12V 33AH
@20 hour rate to 1.75VPC and 77deg. Farenheit


-to convert to AC I have a 300 watt DC to AC power inverter
it has two AC outlets

-for a source I plan to use my Apple Ipod
it is powered by its own battery

I would like to use a standard 30 watt/ channel stereo receiver to power some box speakers.

Will this work?
Could it play for 3 or 4 hours at normal listening levels?
holzhauer
Thanks guys- the dry run is a good idea. I don't own the receiver yet. Perhaps the car audio components would be the way to go. That would eliminate the need for the inverter.
The Ipod has an accesory that converts the headphone output to left and right RCA plugs. If a car audio component would take RCA's I think I might be in business.
I'm guessing the headphone output wouldn't be enough to go directly to the amplifier. It would be nice if it could though.
If you got some hi-eff horns, you could use a micro-Zotl as an amp. It is set up to run on DC battery power with a flick of a switch.
I was thinking of high efficiency horns as a way to save power and fill the outdoors with sound. The Berning is a mouth watering temptation. Probably more than I want to spend however. Just learned Berning designed a tube amp for the car. That's pretty cool.
how about a simple portable generator for the power for the subwoofer you will need to fill the open soundstage.
Here's the math for a 12 Volt DC battery @ 33 ampere-hour:

If the power draw is:
30 watts - 10 hrs run time
60 watts - 5 hrs
120 watts - 2.5 hrs
240 watts - 75 minutes
300 watts - 1 hr

I rounded off, the actual times are a little more.