You and a friend each carry identical boxes from the first floor of a building to a room located on the second floor, farther down the hall. you choose to carry the box first up the stairs, and then down the hall to the room. your friend carries it down the hall on the first floor, then up a different stairwell to the second floor. how do the amounts of work done by the two of you on your boxes compare? '

Work done in both the cases will be same

Explanation:

As we know that the work done against gravity is given as

here we know that gravitational force is a conservative force and the work done against gravitational force is independent of the path

So here the work done by person to move the object between two different heights will be independent of the path they choose

So for the first person and second person will be same in both the cases because the height through which the boxes are transferred will be same in both the cases