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 determine how many hours you work during your night shift, we can break it down as follows:

  1. The total time from 22:00 (10:00 PM) to 06:00 (6:00 AM) is 8 hours.
  2. You have a 45-minute break, which we need to subtract from the total hours worked.

Let's calculate it:

Total hours=8hours\text{Total hours} = 8 \, \text{hours} Break=45minutes=0.75hours\text{Break} = 45 \, \text{minutes} = 0.75 \, \text{hours} Hours worked=80.75=7.25hours\text{Hours worked} = 8 - 0.75 = 7.25 \, \text{hours}

So, you work 7.25 hours during your shift.

Would you like more details, or do you have any questions?

Here are 5 related questions you might explore:

  1. How do you convert minutes to hours?
  2. What would be the working hours if the break were 30 minutes instead of 45 minutes?
  3. How would the calculation change if the break were unpaid?
  4. What if you worked from 22:00 to 07:00 with the same break?
  5. How would this calculation differ across different time zones?

Tip: When converting minutes to hours, divide the number of minutes by 60 to get the decimal form of the hour.

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Subtraction
Unit Conversion

Formulas

Total time worked = End time - Start time
Break in hours = Break in minutes ÷ 60
Hours worked = Total time worked - Break in hours

Theorems

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Suitable Grade Level

Grades 5-7