Math Problem Statement
you start night shift at 22:00 and finish at 06:00 with a 45 minute break. How many hours do you work?
Solution
To calculate the total number of hours worked during a night shift from 22:00 to 06:00 with a 45-minute break, follow these steps:
-
Determine the total shift duration:
- Start time: 22:00 (10:00 PM)
- End time: 06:00 (6:00 AM)
The shift spans from 10:00 PM to 6:00 AM, which is an overnight period.
-
Calculate the total shift hours:
From 22:00 to 24:00 (midnight) = 2 hours
From 00:00 (midnight) to 06:00 = 6 hours
Total shift duration = 2 hours + 6 hours = 8 hours. -
Subtract the break time:
Break duration = 45 minutes = 0.75 hours. -
Calculate the actual working hours:
Total working hours = Total shift duration - Break duration
Total working hours = 8 hours - 0.75 hours = 7.25 hours.
So, you work 7 hours and 15 minutes during your night shift after accounting for the break.
Would you like more details, or do you have any questions?
Here are some related questions:
- How do you calculate hours between two times on different days?
- What if the break duration was different?
- How to calculate overtime hours in a shift?
- How do different time zones affect work shift calculations?
- What is the impact of multiple breaks on total working hours?
Tip: Always convert time to the same unit (e.g., hours or minutes) when performing calculations to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Time Calculation
Subtraction of Time Durations
Formulas
Total Shift Duration = End Time - Start Time
Actual Working Hours = Total Shift Duration - Break Time
Theorems
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Suitable Grade Level
Grades 5-7
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