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?
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.
Hope it's clear.
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