Answer :
- The worker checked the second time at 2.30 p.m.
- The bottles that has been capped at that time is 2600 bottles.
The production start time = 8:00am (8 hours of the day)
Lunch time = 12:00pm ( 12 hours of the day)
Factory closing time = 5:00pm ( 17 hours of the day)
The difference between the lunch time and closing time= 17 - 12
= 5 hours.
He checks the number of bottles capped a second time halfway between the beginning of his lunch break and the end of his day =12 + [tex]\frac{5}{2}[/tex]
= 12 + 2.5 hours
= 14.5 hours
= 2: 30pm
From production start time to lunch time = 12 - 8
= 4 hours
Therefore, in 4 hours 1600 bottels were capped
1 hour = [tex]\frac{1600}{4}[/tex]
= 400 bottles
Therefore the number of bottles that would be capped when the worker checked the second time should be = start time to lunch time + halfway between the beginning of his lunch break and the end of his day × 400 bottles.
= (4 + 2.5) × 400
= 1600 + 1000
=2600 bottles
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