Here is the answer to your question:
When you move the system, you are doing work to it. If you do work to the system, you move it.
If you have an engine that is capable of making 5 horsepower, then it can do 5 horsepower worth of work to the system. If you have an enormous load, then you can move it with that 5hp engine by gearing the engine (giving it a lot of leverage) over the system. The gearing increases the amount of twisting force that is applied to the load. However, it decreases the RPM at which the twisting force is applied. So the engine is making the same horsepower and torque at the same speed as before, but that is being used to drive a gear that has a lot more twisting force over the load that you're trying to move.
You increase the twisting force being applied to the load. You decrease the speed at which the twisting force is applied. The horsepower output is unchanged by the gear ratio, aside from parasitic friction (minimal losses). The gears connect the engine to the load or object that you're trying to do work to. The engine operates at its normal speed and makes its normal amount of torque as well as its normal amount of horsepower.
Look at gears like they are levers. They give leverage. If you have a large enough lever, you can move any load by putting any amount of force on the side farthest from the fulcrum.