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

Let's break down the problem:

  • You start work at 22:00 (10:00 PM) and finish at 06:00 (6:00 AM).
  • Total time worked without a break would be from 22:00 to 06:00, which is 8 hours.
  • You take a 45-minute break.

Now, let's calculate the actual working hours:

  1. Total shift length:
    From 22:00 to 06:00 = 8 hours.

  2. Break time:
    45 minutes = 45/60 = 0.75 hours.

  3. Total working hours = 8 hours - 0.75 hours = 7.25 hours.

So, the number of hours you work is 7.25 hours.

Would you like further clarification or details? Here are some related questions to expand the discussion:

  1. How do you calculate hours across different days?
  2. How do you convert minutes to a decimal for hours?
  3. What are other ways to manage breaks in shift scheduling?
  4. How would you calculate hours if the break was 1 hour and 15 minutes instead?
  5. How would overtime hours be calculated in this situation?

Tip: When converting minutes to hours, divide the minutes by 60 to get a decimal representation.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Subtraction
Decimal Conversion

Formulas

Total shift hours = End time - Start time
Break in hours = Minutes / 60
Total working hours = Total shift hours - Break hours

Theorems

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Suitable Grade Level

Grades 6-8