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, we'll follow these steps:

  1. Time difference without the break:

    • The shift starts at 22:00 (10:00 PM) and ends at 06:00 (6:00 AM).
    • From 22:00 to midnight (24:00) = 2 hours.
    • From midnight (00:00) to 06:00 = 6 hours.
    • Total hours without the break = 2 + 6 = 8 hours.
  2. Subtracting the break:

    • The break is 45 minutes, or 0.75 hours.
    • Therefore, the total time worked = 8 hours - 0.75 hours = 7.25 hours.

So, you work 7 hours and 15 minutes.

Would you like any more details or explanations?

Here are 5 related questions:

  1. How would the calculation change if the break were 1 hour instead of 45 minutes?
  2. What if your shift ended at 07:00 instead of 06:00?
  3. How would you calculate the total hours worked over a week with the same shift pattern?
  4. How can this be expressed in minutes rather than hours?
  5. How would you calculate your wage if you earned a certain hourly rate?

Tip: When calculating time across midnight, always separate hours before and after midnight for easier calculations.

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Math Problem Analysis

Mathematical Concepts

Time calculation
Subtraction of hours and minutes
Time across midnight

Formulas

Total shift hours = (hours before midnight) + (hours after midnight)
Total worked hours = (Total shift hours) - (Break time in hours)

Theorems

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Suitable Grade Level

Grades 6-8