Question

you are a supervisor at a bottled-juice packaging plant. a new automated system palletizes 1,600 cases every 30 minutes. at this rate, how many cases will be palletized in 8 hours?
a. 3,200
b. 6,000
c. 6,400
d. 12,800
e. 25,600

Explanation:

Step1: Find cases per hour

30 minutes is 0.5 hours. Rate per hour: $1600\div0.5 = 3200$ cases/hour.

Step2: Calculate for 8 hours

Total cases: $3200\times8 = 25600$? Wait, no, wait. Wait, 1600 in 30 minutes. So in 1 hour (60 minutes), it's $1600\times2 = 3200$? Wait, no, 30 minutes is half an hour, so per hour is 16002=3200? Wait, no, 1600 every 30 minutes, so in 8 hours, how many 30 - minute intervals? 8 hours 2 (since 1 hour has 2 thirty - minute intervals) = 16 intervals. Then total cases: 160016 = 25600? But the options have E as 25,600. Wait, maybe I miscalculated. Wait, 1600 every 30 minutes. 8 hours is 480 minutes. 480/30 = 16. 161600 = 25600. So the answer is E. 25,600.

Answer:

E. 25,600