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 hours worked:
- The shift starts at 22:00 (10:00 PM) and ends at 06:00 (6:00 AM). The time from 22:00 to midnight (24:00) is 2 hours. Then, from midnight to 06:00 is 6 hours. So, the total shift length is:
- Subtract the 45-minute break (which is 0.75 hours) from the total shift length:
Therefore, you work 7.25 hours during your shift.
Do you want further details or have any questions?
Here are 5 related questions:
- How do you calculate overtime if you worked beyond 06:00?
- How would the total hours change if your break was 30 minutes instead of 45 minutes?
- What if your shift started at 21:00 instead of 22:00? How many hours would you work then?
- How does the calculation change if you take two breaks instead of one?
- If your shift lasted 10 hours with a 1-hour break, how many hours would you work?
Tip: Converting minutes into decimal hours can simplify time calculations (e.g., 45 minutes = 0.75 hours).
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Math Problem Analysis
Mathematical Concepts
Time Calculation
Subtraction of Time
Conversion of Minutes to Decimal Hours
Formulas
Total Shift Time = (End Time - Start Time)
Break Time in Decimal Hours = (Minutes ÷ 60)
Total Work Hours = Total Shift Time - Break Time
Theorems
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Suitable Grade Level
Grades 6-8