Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 47 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?  Answers.
A) 40
B) 42
C) 44
D) 46
E) 48
Annie earned 40x + 7(2x) = 54x   Let H be the number of hours that Harry worked.   Harry earned 30x + 1.5x(H-30) = 54x   (1.5x)(H) = 69x   H = 46 hours   The answer is 46.
<result>D</result>
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 47 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?