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Omron makes a wide variety of industrial timer modules which can count down a preset number of tenths of a second all the way to hundreds of hours and then close or open a set of switch contacts and reset themselves. A new one from one of the on-line industrial supply houses might cost about 150 dollars new, or 20 to 40 dollars for a used one at an ...
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I don’t think can be achieved by gears only.
The best solution depends on what your goal is, if the motor is capable of feeding al the pumps then the system will balance itself powering all the pumps with the torque they need depending on the load they are subjected to.
If you need this kind of device in order to be sure one pump isn’t drawing all the power ...
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UPDATE
Centrifugal pumps generally obey what are known as the pump laws. These laws state that the flow rate or capacity is directly proportional to the pump speed; and the power required by the pump motor is directly proportional to the cube of the pump speed. These laws are summarized in the following equations.
$$\dot V \propto n \tag{eq.1}$$
$$P \propto ...
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