The correct answer is: They are equal.
The work done to lift an object to a certain height is equal to the increase in the gravitational potential energy of the object. When you lift an object against the force of gravity, the work done (W) is calculated as:
\[ W = F \cdot d \]
where \( F \) is the force required to lift the object (equal to its weight, \( mg \), where \( m \) is mass and \( g \) is acceleration due to gravity) and \( d \) is the height to which it is lifted.
The gravitational potential energy (PE) gained by the object is given by:
\[ PE = m \cdot g \cdot h \]
where \( h \) is the height. Since both formulas represent the same quantity when lifting an object at constant speed (no acceleration), the work done to lift the object equals the change in gravitational potential energy.