Each week, Harry is paid x dollars per hour for the first 30

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, ho wmany hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39

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 for 41 hours hence he earned 40*x+1*2x=42x dollars;

We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for the first 30 hours plus 12x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 12x/1.5x=8 additional hours, so Harry worked for total of 30+8=38 hours.

Answer: D.

Hope it's clear.

Hi Bunuel,
could you please tell me why my approach is incorrect.
Total hours worked by Harry is H
Number of additional hours = H-30
Total earned by James is 42 as you calculated

30x+(H-30)1.5x = 42x
(H-30)1.5x=12x= 1.5x -45=12= x=67/1.5==44 hours

Hi there! I agree with those who write that the right answer is D. But which one really is, dear author?

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 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

Yay ! i have the most fantastic solution

let x = dollars
y = hours

Hary 30x+1.5x
James 40x-2x

so say 1 dollar is hourly wage ---> If James earned $ 42 then Harry 30 +(1.5*8) = 38 hours

Nice work. Just one typo that might confuse someone.
James is 40x + 2x.

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 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