ChenggongMAS wrote:

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, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?

A. 35

B. 36

C. 37

D. 38

E. 39

I almost understand the OG's explanation; however, there is one number that I do not understand in the equation. I will elaborate after a few responses are posted. I do not want to ruin the question for someone with a "hint".

~Chenggong

James worked 41 hours, so he was paid 40x+1(2x)

Lets say Harry worked h hours. Since he was paid the same as Harry, which is more than 30x (42x), he mus have worked more than 30 hours, hence h>30

Harry got paid : 30x+(h-30)1.5x

We know : 30x + (h-30)1.5x=42x

1.5hx -15x = 42x

1.5hx -57x = 0

(1.5h - 57)x=0

h = 57/1.5 = 38

Answer is (d) _________________

Math write-ups

1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

GMAT Club Premium Membership - big benefits and savings