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 hours worked, follow these steps:

  1. Total shift duration: From 22:00 to 06:00 the next day is an 8-hour span.

  2. Break duration: You have a 45-minute break.

  3. Work duration: Subtract the break from the total shift duration.

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

So, you work 7 hours and 15 minutes in total.

Would you like a more detailed explanation or have any other questions?

Here are some related questions:

  1. If the break were 30 minutes, how many hours would you work?
  2. How many hours do you work in a week if you have 5 of these shifts?
  3. What is the total work time for a month if you work 20 of these shifts?
  4. How would the work hours change if your shift ended at 07:00 instead of 06:00?
  5. If the break was unpaid, how would you calculate your hourly wage?

Tip: Always ensure to convert minutes into hours when performing time-related calculations for accuracy.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Subtraction

Formulas

Total Hours = End Time - Start Time
Work Hours = Total Hours - Break Time

Theorems

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Suitable Grade Level

Grades 5-7