Math Problem Statement

Numeracy question. You start night shift at 22:00 and finish at 06:00 with a 45-minute break. How many hours do you work? 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, we start by determining the total time from the beginning to the end of the shift and then subtract the break time.

  1. Total Time of the Shift:

    • Start time: 22:00 (10:00 PM)
    • End time: 06:00 (6:00 AM next day)

    From 22:00 to midnight is 2 hours, and from midnight to 06:00 is 6 hours. So, the total shift time is:

    2hours+6hours=8hours2 \, \text{hours} + 6 \, \text{hours} = 8 \, \text{hours}

  2. Subtract the Break Time:

    • Break time: 45 minutes, which is 0.75 hours.

    So, the total working time is:

    8hours0.75hours=7.25hours8 \, \text{hours} - 0.75 \, \text{hours} = 7.25 \, \text{hours}

Therefore, you work 7 hours and 15 minutes.


Would you like more details or have any questions?

Related Questions:

  1. How would the calculation change if the break was 30 minutes instead of 45 minutes?
  2. If you started at 21:00 and finished at 06:00 with the same 45-minute break, how many hours would you work?
  3. How do you convert minutes into decimal hours?
  4. What would be your working hours if you took two 15-minute breaks instead of one 45-minute break?
  5. How can shifts that span across midnight be calculated in different time zones?

Tip:

When calculating hours worked, always convert minutes into decimal format for accurate subtraction.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Subtraction of Hours and Minutes
Conversion of Minutes to Decimal Hours

Formulas

Total shift time = End time - Start time
Break time in hours = Break time in minutes ÷ 60
Total working hours = Total shift time - Break time

Theorems

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Suitable Grade Level

Grades 5-7