Would depend on the size of the battery. 12 volt batteries go from
size 27 up to D.
You did say "A" battery, right?

That would depend on your alternator and the size wire you had running
to the battery.

You really need to give more information.

Tom J

Dave,

First divide 115v AC watts by 10 to get the DC amps required. This
accounts for typical inverter efficiencies. In your case, 115 AC watts
-> 11.5 DC amps.

Deep cycle batteries are rated in amp-hours. For example, 100 amp-hours
will give 10 amps for 10 hours or 1 amp for 100 hours, etc....

A Deep cycle battery normally is discharged to 50%. So if you've got a
220 amp-hour battery you should plan on getting about 110 amp-hours out
of it before recharging. (about 10 hours of your hypothetical 115 watt
load.)

The fastest that charge can be shoved back into a battery without
harming it (boiling, etc) is about its total amp-hours capacity/5
hours.

So the fastest you can recover 10% of a battery's charge is 1/2 hour.
20% takes a minimum of 1 hour, 40% takes a minimum of 2 hours, etc.

The reason for all the hedging words (fastest, minimum, etc.) is that:
1) it gets hard to shove charge back into a battery above 85% of full
charge.
-( C/5 at 85%, C/10 at 90%, C/20 at 95%, & C/40 at 100% are about the
fastest practical rates - the last 15% takes a LONG time but must be
done occasionally)
2) there's maybe 25% loss in the charging process.

In the case you asked about; a battery  of capacity C amp-hours driving
a 1 amp AC load through an inverter will last a practical maximum of
about C/20 hours before it should be recharged. Recharging will take a
minimum of about 2.5 -3 hours.

If you use the same amp-hours each day you can cut the daily recharge
time in half by doubling the battery capacity & charging current.

The bottom line is to squeeze in as many batteries as possible if you
want to minimize recharge time.

Dave

This guy is a troll just wasting everyone's time.
RichA
"We Get Too Soon Olde and Too Late Smart"