Brainliest to correct !!! Please someone help me!!

Rosalyn worked 48 hours one week and earned a $1470 paycheck. She earns two times and a half (2.5 times her regular hourly wage) for the number of hours she works in excess of 40. What is Rosalyn's regular hourly wage?

I’m not sure if I am correct ,

Informally, each hour of overtime is like 2.5 hours of regular time, so 8 hours of overtime is like 8*2.5 = 20 hours of regular time.

So her $1470 earnings are for 40+20 = 60 hours of work.

Her regular hourly wage is 1470$/60=24.5 dollars

40(x)+8(2.5x)=1470
40x+20x=1470
60x=1470
X=1470/60
X=24.5 dollars

Answer =24.5$