Answer:[tex]d+\frac{L}{2}[/tex]
Explanation:
Given
Length of skateboard is L
distance of skateboard from the wall is d
Suppose mass of skateboard is M
so mass of Professor is M
When Professor moves towards wall skateboard started moving away from wall.
If the professor moves L distance on the skateboard
Therefore relative displacement of the skateboard is
[tex]=\frac{ML}{M+M}[/tex]
[tex]=\frac{L}{2}[/tex]
Therefore professor is at a distance of [tex]d+\frac{L}{2}[/tex] from wall