I don't understand your story, because you didn't read it
to find mistakes and correct them before you posted it.
Here's another story:
A woman had a child who weighed 100 N.
She lifted the child 1 meter up from the floor, and carried the child
50 meters from one end of the basketball court to the other end.
The woman did 100 joules of work as she lifted the child,
and no work to carry the child 50 m at the same height.