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 number of hours worked, we need to account for the total time on the shift and subtract the break time.

  1. Total time from 22:00 to 06:00:

    • From 22:00 to 24:00 (midnight) = 2 hours
    • From 00:00 to 06:00 = 6 hours
    • Total time = 2 + 6 = 8 hours
  2. Subtract the break:

    • Break time = 45 minutes = 0.75 hours
  3. Net working hours:

    • 8 hours (total time) − 0.75 hours (break) = 7.25 hours

Thus, you work 7.25 hours during your shift.

Would you like further clarification on how the time was calculated or have any additional questions?

Related questions:

  1. How would the calculation change if your break was 1 hour instead of 45 minutes?
  2. How can you calculate working hours if your start and end times cross into the next day?
  3. What is the difference between using decimal hours and minutes in such calculations?
  4. How would the calculation change if the break was split into two separate breaks?
  5. What time would you finish if your shift started at 21:00 and the total working time remained the same?

Tip:

When calculating work hours, it's often easier to first calculate the total time and then subtract breaks in hours, converting minutes to decimal if necessary.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Subtraction of Time
Conversion between Hours and Minutes

Formulas

Total time calculation: End time - Start time
Net working hours: Total time - Break time

Theorems

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Suitable Grade Level

Grades 5-7