Aaron and Benny started saving at the same time. Each day, Aaron saved $1.20 and Benny saved $0.30 more than Aaron. If Benny saved $11.40 more than Aaron, how much would Aaron have saved?

Let Benny's daily saving be x

Since Benny saved $11.40 more than Aaron, Aaron's daily saving is x - $11.40 = -$11.40
From the problem, Benny's daily saving is $0.30 more than Aaron. Therefore x = -$11.40 + $11.40 - $0.30 =$0
Benny's daily saving x = Aaron's daily saving, so Aaron's daily saving is $0.
The answer is, Aaron will save $0. Answer: \boxed{0}.