Printable math worksheet where students calculate missing values for start time, end time, and elapsed time.

To complete the table, we need to calculate the missing values using basic time arithmetic.

Key Rules:
1. Finding Start Time: Subtract the Elapsed Time from the End Time.
2. Finding End Time: Add the Elapsed Time to the Start Time.
3. Finding Elapsed Time: Calculate the difference between the Start Time and End Time.
4. AM/PM Switch: Remember that 12:00 is the switch point. If you go past 12:00, the AM/PM changes. Also, remember that there are 60 minutes in an hour.

Here is the step-by-step solution for each row:

Row 1:
* Given: End Time = 12:33 P.M., Elapsed Time = 1 Hour & 33 Minutes.
* Task: Find Start Time.
* Calculation:
* Subtract 33 minutes from 12:33 P.M. $\rightarrow$ 12:00 P.M.
* Subtract 1 hour from 12:00 P.M. $\rightarrow$ 11:00 A.M.
* Result: 11:00 A.M.

Row 2:
* Given: End Time = 7:35 A.M., Elapsed Time = 3 Hours & 15 Minutes.
* Task: Find Start Time.
* Calculation:
* Subtract 15 minutes from 7:35 A.M. $\rightarrow$ 7:20 A.M.
* Subtract 3 hours from 7:20 A.M. $\rightarrow$ 4:20 A.M.
* Result: 4:20 A.M.

Row 3:
* Given: Start Time = 3:00 A.M., End Time = 4:34 A.M.
* Task: Find Elapsed Time.
* Calculation:
* From 3:00 to 4:00 is 1 hour.
* From 4:00 to 4:34 is 34 minutes.
* Result: 1 Hour & 34 Minutes

Row 4:
* Given: End Time = 10:34 P.M., Elapsed Time = 2 Hours & 34 Minutes.
* Task: Find Start Time.
* Calculation:
* Subtract 34 minutes from 10:34 P.M. $\rightarrow$ 10:00 P.M.
* Subtract 2 hours from 10:00 P.M. $\rightarrow$ 8:00 P.M.
* Result: 8:00 P.M.

Row 5:
* Given: Start Time = 10:40 A.M., End Time = 2:16 P.M.
* Task: Find Elapsed Time.
* Calculation:
* From 10:40 A.M. to 12:40 P.M. is 2 hours.
* From 12:40 P.M. to 2:16 P.M.:
* 12:40 to 1:40 is 1 hour (Total so far: 3 hours).
* 1:40 to 2:16 is 36 minutes.
* Total: 3 Hours & 36 Minutes.
* Result: 3 Hours & 36 Minutes

Row 6:
* Given: Start Time = 1:00 P.M., End Time = 3:55 P.M.
* Task: Find Elapsed Time.
* Calculation:
* From 1:00 to 3:00 is 2 hours.
* From 3:00 to 3:55 is 55 minutes.
* Result: 2 Hours & 55 Minutes

Row 7:
* Given: End Time = 9:46 P.M., Elapsed Time = 3 Hours & 26 Minutes.
* Task: Find Start Time.
* Calculation:
* Subtract 26 minutes from 9:46 P.M. $\rightarrow$ 9:20 P.M.
* Subtract 3 hours from 9:20 P.M. $\rightarrow$ 6:20 P.M.
* Result: 6:20 P.M.

Row 8:
* Given: Start Time = 5:00 P.M., End Time = 8:38 P.M.
* Task: Find Elapsed Time.
* Calculation:
* From 5:00 to 8:00 is 3 hours.
* From 8:00 to 8:38 is 38 minutes.
* Result: 3 Hours & 38 Minutes

Row 9:
* Given: End Time = 5:00 P.M., Elapsed Time = 3 Hours & 40 Minutes.
* Task: Find Start Time.
* Calculation:
* Subtract 3 hours from 5:00 P.M. $\rightarrow$ 2:00 P.M.
* Subtract 40 minutes from 2:00 P.M.
* Go back 1 hour to 1:00 P.M.
* We still need to go back 40 minutes from 1:00 P.M.
* 60 minutes - 40 minutes = 20 minutes. So, it is 12:20 P.M.
* Result: 12:20 P.M.

Row 10:
* Given: Start Time = 9:40 P.M., Elapsed Time = 4 Hours & 44 Minutes.
* Task: Find End Time.
* Calculation:
* Add 4 hours to 9:40 P.M. $\rightarrow$ 1:40 A.M. (Next day)
* Add 44 minutes to 1:40 A.M.
* 1:40 + 20 minutes = 2:00 A.M.
* We have 24 minutes left (44 - 20 = 24).
* 2:00 + 24 minutes = 2:24 A.M.
* Result: 2:24 A.M.

Final Answer:
| Start Time | End Time | Elapsed Time |
| :--- | :--- | :--- |
| 11:00 A.M. | 12:33 P.M. | 1 Hours & 33 Minutes |
| 4:20 A.M. | 7:35 A.M. | 3 Hours & 15 Minutes |
| 3:00 A.M. | 4:34 A.M. | 1 Hour & 34 Minutes |
| 8:00 P.M. | 10:34 P.M. | 2 Hours & 34 Minutes |
| 10:40 A.M. | 2:16 P.M. | 3 Hours & 36 Minutes |
| 1:00 P.M. | 3:55 P.M. | 2 Hours & 55 Minutes |
| 6:20 P.M. | 9:46 P.M. | 3 Hours & 26 Minutes |
| 5:00 P.M. | 8:38 P.M. | 3 Hours & 38 Minutes |
| 12:20 P.M. | 5:00 P.M. | 3 Hours & 40 Minutes |
| 9:40 P.M. | 2:24 A.M. | 4 Hours & 44 Minutes |