As has been noted above, the posted problem is poorly worded.
I believe that the problem intends to ask the following:
A factory employs 3 types of workers: K-workers, M-workers, and N-workers. Each K-worker produces 3 units per hour. Each M-worker produces 5 units per hour. Each N-worker produces 6 units per hour. The factory employs 15 K-workers, 12 M-workers and 3 N-workers. Each worker is paid $x for every unit the worker produces. If the total wages paid to the entire group of 30 workers is $492 per hour, what will be the wages earned by each N-worker for an 8-hour day?
A. $24
B. $144
C. $192
D. $246
E. $576
Since each K-worker produces 3 units per hour, the amount of work produced each hour by 15 K-workers = 3*15 = 45 units.
Since each M-worker produces 5 units per hour, the amount of work produced each hour by 12 M-workers = 5*12 = 60 units.
Since each N-worker produces 6 units per hour, the amount of work produced each hour by 3 N-workers = 6*3 = 18 units.
Total amount of work produced each hour = 45+60+18 = 123 units.
Since each N-worker produces 6 of the 123 units produced, the hourly pay for each N-worker = (6/123)(492) = 24.
Amount earned by each N-worker for an 8-hour day = 8*24 = 192.
The correct answer is
C.
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