Did I find the time of each worker correctly in this algebra question?

Ty and Ey are painting a house. Together it will take them 24 hours to paint the house. Ty alone can paint the house in six hours less than Ey working alone. How long to the nearest hour would it take each of them working alone?

X=Ey Y=Ty
x+y=24 y=x-6

x+x-6=24
2x=30
x=15

15+y=24
y=9

x=24+15 so x=39 minutes

y=24+9 so y=33 minutes