Did Babe Ruth play alongside Satchel Paige?

Answer 1

Paige was 11 years younger than Ruth, so by the time he was coming up, Ruth was going down. However, they did compete at least once in a barnstorming game. The great Buck O'Neal described it:

I wish I could have been there when Babe Ruth pointed and hit the ball out of the ballpark in the 1932 World Series. I wish I could have seen that. But I did see something I admired just about as much, with Satchel Paige and Babe Ruth. This was in Chicago, after Ruth came out of the major leagues. He was barnstorming, playing with different teams, and he played us. Satchel was pitching and Ruth was hitting. Satchel threw Ruth the ball and Ruth hit the ball, must have been 500 feet, off of Satchel. Satchel looked at Ruth all the way around the bases and when Ruth got to home plate, you know who shook his hand? Satchel Paige shook Ruth's hand at home plate.

They stopped the game and waited, he and Satchel talking, until the kid went out, got the ball, brought it back and Satchel had Babe Ruth autograph that ball for him. That was some kind of moment.

Answer 2

No. He played for the Boston Red Sox (1914-1919), New York Yankees (1920-1934), and the Boston Braves (1935)