I found the example below in a Kaplan practice quiz and the only solution offered involves backsolving. Can anyone provide a mathematical solution? By the time backsolving occurred to me, I was already too deep into the math and resorted to poor guesswork.
Machine A and machine B are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machine A produce?
a) 6
b) 6.6
c) 60
d) 100
e) 110
Answer: D
Machine A and machine B are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machine A produce?
a) 6
b) 6.6
c) 60
d) 100
e) 110
Answer: D
