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:
-
Total shift length:
From 22:00 to 06:00 = 8 hours. -
Break time:
45 minutes = 45/60 = 0.75 hours. -
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:
- How do you calculate hours across different days?
- How do you convert minutes to a decimal for hours?
- What are other ways to manage breaks in shift scheduling?
- How would you calculate hours if the break was 1 hour and 15 minutes instead?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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
-
Suitable Grade Level
Grades 6-8