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 how many hours you work, we need to subtract the break from the total shift time.
- Start time: 22:00
- End time: 06:00 (the next day)
- Break: 45 minutes
First, calculate the total time between 22:00 and 06:00.
- From 22:00 to midnight (00:00) = 2 hours
- From 00:00 to 06:00 = 6 hours
So, the total shift time is:
Next, subtract the 45-minute break:
- 45 minutes = 0.75 hours
Thus, the total working time is:
You work 7.25 hours.
Would you like more details or have any questions?
Here are 5 related questions to further explore the concept:
- How would your working hours change if your break were 1 hour instead of 45 minutes?
- How many hours would you work over a 5-day workweek with this schedule?
- What is the total amount of break time in minutes across a 5-day week?
- How would the calculation differ if you worked a 10-hour shift with the same break?
- How would your total work hours change if you had two 30-minute breaks instead?
Tip: When calculating hours across midnight, split the time into two parts: from the start to midnight, and from midnight to the end.
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Math Problem Analysis
Mathematical Concepts
Time Calculation
Subtraction
Conversion between hours and minutes
Formulas
Total time = End time - Start time
Work hours = Total time - Break time
1 hour = 60 minutes
Theorems
-
Suitable Grade Level
Grades 5-7
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