Question

A factory produces a certain number of toys in a week using a team of 40 workers who work for 8 hours daily. Due to an increase in demand, the factory needs to double the production while maintaining the same work schedule. How many additional workers should be hired?

• A. 44
• B. 40
• C. 38
• D. 36

Answer 1

Answer: (B)

40

Answer 2

The total work done is directly proportional to the number of workers and the number of hours they work.
For the current situation:
Total work done = 40 workers $\times$ 8 hours/day $\times$ 7 days/week = 2240 worker-hours/week
To double the production, the total work done should be doubled:
New total work done = 2 $\times$ 2240 worker-hours/week = 4480 worker-hours/week
With the new team of (40 + W) workers working 8 hours daily for 7 days:
New total work done = (40 + W) workers $\times$ 8 hours/day $\times$ 7 days/week
Equating the two expressions for new total work done:
(40 + W) $\times$ 8 $\times$ 7 = 4480
40 + W = 80
W = 40