No, they didn't. The Tyrannosaurus came from North America and the Spinosaurus came from Africa. Also, if they did overlap, Spinosaurus would be too large and powerful for tyrannosaurus to eat.
Tyrannosaurus
Tyrannosaurus Rex! not spinosaurus
Its Spinosaurus then the Second is Giganotosaurus and the 3rd is Tyrannosaurus
The biggest Tyrannosaur was Spinosaurus. It wasn't apart of the Tyrannodae family it was part of the spinodae but it was so fierce that it was a Tyrannosaurus. The spinosaurus is so big that when he attacks he needs to duck down!
suchomimus eats tyrannosaurus rex and allosaurus and megaloden and tricertops and fishes and sarcosuchus and spinosaurus and almost everything it even ate mans and humans
Maybe the people you know believe that Spinosaurus could fight a Tyrannosaurus, but, most people believe the latter. In fact, Spinosaurus and Tyrannosaurus did not even live in the same time period, let alone the same continent.
A Spinosaurus Just because they are bigger and have more muscle mass and their claws are more useful, but it does matter what type of terrain.
When I ask people what their favorite dinosaur is, by far the majority say Tyrannosaurus rex. I haven't asked a lot of people, but nobody has answered Spinosaurus. Technically, I don't have a very large sample size, but I would still guess that Tyrannosaurus is far more popular than Spinosaurus.
Normally Tyrannosaurus rex is said to be the "King of the Dinosaurs". but if you think in size it is the Spinosaurus
Spinosaurus/spinosaurus egypticus would have been bigger and more aggresive but if you are thinking of the fight between the T.rex and Spino, the T.rex would win due to the Spinosaurus hands not being able to break its neck.
Spinosaurus eat Fish, Pterosaurs and Other Dinosaur
Spinosaurus, although both the Allosaurus and commonly known Tyrannosaurus Rex are close behind.