I want to power a small mechanical monstrosity, which performs three tasks that require three separate axles. For the powering, there's a hand-operated crankshaft connected to the primary axle that has 3 gears located at (equally-distanced, if that's a variable) intervals and there will be 3 secondary axles, each with their ends connected to the 3 gears on the primary axle respectively.
I want the TORQUE of the primary axle to be distributed in a 10:30:60 ratio to the secondary axles.
Which law can I use to calculate the size and number of teeth for the gears on the primary axle, as well as their mating gears on the secondary axles each? Please consider I have little knowledge pertaining to gears, apart from what torque, mathematical ratios, forces, distance, and other basic physics quantities are.
EDIT: For those who think Swiss machines and god-knows-what apply to my question, HERE is my idea:
Maybe I am using the wrong terminology in the question.
All pumps are identical (screw) pumps pumping water, the flow rate must be highest in pump 3 and lowest in pump 1, while pump 2 has a median flow rate. The flow rates are in the 10:30:60 ratio for pump 1:2:3 respectively.
Now I think that to have a higher flow rate, we need more revolutions per minute for the pump, but that requires more torque (or doesn't it?). Basically, in the end I need pump 3 faster than pump 2, and pump 2 faster than pump 1. Whichever way you come to it, be it so.
If I need more gears to achieve this, then I'd be happy to have a diagram to show me where and how.