question 5

[bacali]

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

oa: D

[cramya]

Pick numbers

x=2

James gets paid 40*2 + 2(2) = 84

Harry gets paid 30*2 + 3 * extrahours = 84

extrahours = 24/3=8

Harry worked 30+8 = 38 hours

[gmataug08]

James worked 41 hours => 40x (regular pay) + 2x (for the extra one hr)

Harry to get 42X dollars,

=> 30X (for regular 30 hrs) + 12X/1.5X (extra hr pay rate)

=> 30 + 8 => 38