TASK DEFINITION: You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
PROBLEM: Category: TRAINS 
Clue: As of 2006, you can take a 48-hr. ride between these 2 cities, with a stretch on the world's highest railroad

SOLUTION: beijing & lhasa

PROBLEM: Category: NAME'S THE SAME 
Clue: Name shared by a British film company & an American who made millions in oil & pharmaceuticals

SOLUTION: hammer

PROBLEM: Category: SPORTS 
Clue: In 1744 the first mention of this now popular sport said, "away flies the boy to the next ...post and then home with joy"

SOLUTION:
baseball