Printable math worksheet for calculating elapsed time using digital clocks.

To solve the elapsed time problems, we need to calculate the difference between the "End Time" and the "Start Time" for each problem. Let's go through each one step by step.

Problem 1:

Start Time: 8:35
End Time: 2:19

- Since the end time is in the afternoon (2:19 PM), we need to consider that the start time is in the morning (8:35 AM).
- Convert both times to a 24-hour format for easier calculation:
- Start Time: 8:35
- End Time: 14:19 (2:19 PM)
- Calculate the elapsed time:
- From 8:35 to 14:19:
- Hours: \( 14 - 8 = 6 \) hours
- Minutes: \( 19 - 35 \) (since 19 is less than 35, borrow 1 hour):
- \( 19 + 60 = 79 \) minutes
- \( 79 - 35 = 44 \) minutes
- Total: \( 5 \) hours and \( 44 \) minutes

Answer: 5 hours 44 minutes

Problem 2:

Start Time: 4:28
End Time: 8:50

- Both times are in the same period (afternoon or evening).
- Calculate the elapsed time:
- Hours: \( 8 - 4 = 4 \) hours
- Minutes: \( 50 - 28 = 22 \) minutes
- Total: \( 4 \) hours and \( 22 \) minutes

Answer: 4 hours 22 minutes

Problem 3:

Start Time: 5:14
End Time: 8:14

- Both times are in the same period.
- Calculate the elapsed time:
- Hours: \( 8 - 5 = 3 \) hours
- Minutes: \( 14 - 14 = 0 \) minutes
- Total: \( 3 \) hours

Answer: 3 hours

Problem 4:

Start Time: 2:20
End Time: 12:00

- Both times are in the same period.
- Calculate the elapsed time:
- Hours: \( 12 - 2 = 10 \) hours
- Minutes: \( 00 - 20 \) (borrow 1 hour):
- \( 60 - 20 = 40 \) minutes
- Total: \( 9 \) hours and \( 40 \) minutes

Answer: 9 hours 40 minutes

Problem 5:

Start Time: 9:23
End Time: 7:48

- The end time is earlier than the start time, so this must be crossing midnight.
- Calculate the elapsed time:
- From 9:23 to 12:00:
- Hours: \( 12 - 9 = 3 \) hours
- Minutes: \( 60 - 23 = 37 \) minutes
- Total: \( 3 \) hours and \( 37 \) minutes
- From 12:00 to 7:48:
- Hours: \( 7 \) hours
- Minutes: \( 48 \) minutes
- Total: \( 7 \) hours and \( 48 \) minutes
- Add the two parts:
- Hours: \( 3 + 7 = 10 \) hours
- Minutes: \( 37 + 48 = 85 \) minutes (convert 85 minutes to 1 hour and 25 minutes)
- Total: \( 11 \) hours and \( 25 \) minutes

Answer: 11 hours 25 minutes

Problem 6:

Start Time: 10:30
End Time: 1:55

- The end time is earlier than the start time, so this must be crossing midnight.
- Calculate the elapsed time:
- From 10:30 to 12:00:
- Hours: \( 12 - 10 = 2 \) hours
- Minutes: \( 60 - 30 = 30 \) minutes
- Total: \( 2 \) hours and \( 30 \) minutes
- From 12:00 to 1:55:
- Hours: \( 1 \) hour
- Minutes: \( 55 \) minutes
- Total: \( 1 \) hour and \( 55 \) minutes
- Add the two parts:
- Hours: \( 2 + 1 = 3 \) hours
- Minutes: \( 30 + 55 = 85 \) minutes (convert 85 minutes to 1 hour and 25 minutes)
- Total: \( 4 \) hours and \( 25 \) minutes

Answer: 4 hours 25 minutes

Problem 7:

Start Time: 4:11
End Time: 10:53

- Both times are in the same period.
- Calculate the elapsed time:
- Hours: \( 10 - 4 = 6 \) hours
- Minutes: \( 53 - 11 = 42 \) minutes
- Total: \( 6 \) hours and \( 42 \) minutes

Answer: 6 hours 42 minutes

Problem 8:

Start Time: 3:49
End Time: 5:32

- Both times are in the same period.
- Calculate the elapsed time:
- Hours: \( 5 - 3 = 2 \) hours
- Minutes: \( 32 - 49 \) (borrow 1 hour):
- \( 32 + 60 = 92 \) minutes
- \( 92 - 49 = 43 \) minutes
- Total: \( 1 \) hour and \( 43 \) minutes

Answer: 1 hour 43 minutes

Problem 9:

Start Time: 10:52
End Time: 4:57

- The end time is earlier than the start time, so this must be crossing midnight.
- Calculate the elapsed time:
- From 10:52 to 12:00:
- Hours: \( 12 - 10 = 2 \) hours
- Minutes: \( 60 - 52 = 8 \) minutes
- Total: \( 2 \) hours and \( 8 \) minutes
- From 12:00 to 4:57:
- Hours: \( 4 \) hours
- Minutes: \( 57 \) minutes
- Total: \( 4 \) hours and \( 57 \) minutes
- Add the two parts:
- Hours: \( 2 + 4 = 6 \) hours
- Minutes: \( 8 + 57 = 65 \) minutes (convert 65 minutes to 1 hour and 5 minutes)
- Total: \( 7 \) hours and \( 5 \) minutes

Answer: 7 hours 5 minutes

Problem 10:

Start Time: 3:40
End Time: 7:30

- Both times are in the same period.
- Calculate the elapsed time:
- Hours: \( 7 - 3 = 4 \) hours
- Minutes: \( 30 - 40 \) (borrow 1 hour):
- \( 30 + 60 = 90 \) minutes
- \( 90 - 40 = 50 \) minutes
- Total: \( 3 \) hours and \( 50 \) minutes

Answer: 3 hours 50 minutes

Final Answers:

1. 5 hours 44 minutes
2. 4 hours 22 minutes
3. 3 hours
4. 9 hours 40 minutes
5. 11 hours 25 minutes
6. 4 hours 25 minutes
7. 6 hours 42 minutes
8. 1 hour 43 minutes
9. 7 hours 5 minutes
10. 3 hours 50 minutes

\boxed{
\begin{array}{c}
5 \text{ hours } 44 \text{ minutes} \\
4 \text{ hours } 22 \text{ minutes} \\
3 \text{ hours } \\
9 \text{ hours } 40 \text{ minutes} \\
11 \text{ hours } 25 \text{ minutes} \\
4 \text{ hours } 25 \text{ minutes} \\
6 \text{ hours } 42 \text{ minutes} \\
1 \text{ hour } 43 \text{ minutes} \\
7 \text{ hours } 5 \text{ minutes} \\
3 \text{ hours } 50 \text{ minutes} \\
\end{array}
}