Machine P and Machine Q are each used to manufacture 550 sprockets. It takes Machine P 10 hours longer to produce 550 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choose the correct choice from the following.
A) 5  B) 15  C) 55  D) 95  E) 125

Rationale: "p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 550 / x = 550 / 1.1 x + 10 1.1 ( 550 ) = 550 + 11 x 11 x = 55 x = 5 the answer is a ."
Answer: A