David Ogilvy wrote this line. It ran in a 1958 Rolls-Royce advertisement produced by his agency, Ogilvy and Mather. He did not invent the phrase from scratch, he lifted it from a factual line inside an engineer's road test notes on the car, which suited his overall style of advertising built on genuine, verifiable detail rather than empty exaggeration.
Often referred to as the Father of Advertising, Ogilvy built his reputation on lengthy, information rich copy meant to earn a reader's trust through credible detail instead of loud slogans. This particular Rolls-Royce headline is one of the most frequently referenced examples of that method and continues to show up in advertising textbooks and marketing classes as a model of factual, persuasive copywriting.
The other names do not match. Walter Thompson lends his name to the agency J. Walter Thompson but did not write this specific ad. Leo Burnett is remembered for different, character driven campaigns such as the Marlboro Man rather than this line. Salman Rushdie has no connection to advertising at all, being a novelist, and is included only to test recognition. The confirmed author of this headline is David Ogilvy.