Let's say you have an engine and a motor.

The engine has high torque (let's just say 3,000 ft/lb) and low RPM (2 RPM) and you attach a huge gear to the end of it (10 ft circumference). A very small gear (1 inch circumference) is attached to the motor. So the engine turns this huge gear 2 times a minute and the huge gear turns the small gear 240 times a minute.

So, the part I'm wondering now is that is there a loss of torque now that the new RPM is 240 and no longer 2 going into the motor? I'm thinking that since there is no slippage of the gears the torque will remain at 3,000 ft/lb going into the motor and it will now be at 240 RPM as well. Is this right or am I missing something?