Use pump load = 10 kW to make easy sums easier.
200 W panel storing energy at 100% efficiency and running pump at 100% efficiency will run pumps for Power_Panel/Power_pump
= 200/10,000 = 0.02 hours per hour of full sun.
ie a single panel will give a minute of operation per hour of full sun.
Available average sunlight can be found from the marvellous www.gaisma.com site.
If you are lucky enough (sun wise) to be near Phoenix in Arizone then The Gaisma Phoenix page shows that sunshine-hours per day are: Insolation, kWh/m²/day Jan Feb Mar ... Dec:
2.98 Jan
3.78 Feb
5.06
6.53
7.37
7.54
6.99 Jul
6.21
5.46
4.30
3.30
2.74 Dec.
ie from about 2.75 hours in December up to about 7 hours average daily in June.
7 hours is exceptionally high. Close to the the best on earth (but, then uyou'd have to live there.)
So in December a 200W panel will run you pumps for about 3 minutes per day AT 100% efficiency for battery output and motors. And about 20 minutes/day in July.
If you want to run 8 hours/day in July you'll need 7 hrs/20 mins = 20+ 200W panels at 100% efficiency or 30+ in practice. And about 200+ panels in mid winter !
Running less than 8 hours/day (eg water trough filling as opposed to eg irrigation will take proportionately less.