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:

  1. 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.

  2. 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.

  3. Subtract the break time:
    Break duration = 45 minutes = 0.75 hours.

  4. 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:

  1. How do you calculate hours between two times on different days?
  2. What if the break duration was different?
  3. How to calculate overtime hours in a shift?
  4. How do different time zones affect work shift calculations?
  5. 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