The term "point of intersection" never showed up in the original post.

The original question asks, "is there a time at which he crosses the same spot?"

Or using math symbols, if you use x(t) to denote his position as a function of time on Monday, and y(t) to denote his position on Tuesday, then the problem can be restated as,
"is there a time T for which x(T)=y(T)?"

sauer: in how many ways can you arrange the word "RISE"? Preference not given to any particular word!

24

[quote
author=sauer]Seven years ago, Julia's mum was twice as old as Julia.
Today Julia's mum is 31. How old is Julia?[/quote]

Julia is 19.

[quote
author=sauer]and the famous greek one:

As I was going to St. Ives, I met a man with seven wives. Every wife had
seven sacks, every sack had seven cats. Every cat had seven kittens.
Kittens, cats, sacks, and wives. How many were going to St.
Ives?[/quote]