Fast? Don't you mean distance?
Actually there are lots of real-world examples you can think about to get the idea about torque. For instance, consider a door. Notice that the doorknob is always as far as possible from the hinge (which is the axis of rotation). What happens if the doorknob is very near to the hinge? Does it make it easier or more difficult to open or close the door?
Direction of the force matters too. As someone mentioned, torque is the cross product of the displacement vector and force. What if both of these vectors are parallel? Work it out, then consider this: what if you apply a force to the door towards the hinge? Does it affect the rotation?