Carcass wrote:
Employee X is paid $ 19.50 an hour no matter how many hours he works per week. Employee Y is paid $ 18 an hour for the first 40 hours she works in a week and is paid 1.5 times the hourly rate for every additional hour she works. On a certain week, both employees worked the same number of hours and were paid the same amount. How many hours did each employee work that week?
A. 32
B. 36
C. 40
D. 42
E. 48
Kudos for the right answer and explanation
Let the number of additional hours be \(x\)
so,
\(19.5(40 + x) = (18)(40) + (1.5)(18)x\)
\(780 + 19.5x = 720 + 27x\)
\(60 = 7.5x\)
\(x = 8\)
So, a total of (40 + x) = 48 hours
Hence, option E