Use this worksheet to practice finding the elapsed time between two different clock faces.
Elapsed time math worksheet featuring pairs of analog clocks for calculating time intervals.
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Show Answer Key & Explanations
Step-by-step solution for: Elapsed Time Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Elapsed Time Worksheets - Math Monks
To find the elapsed time, we need to read the time on the first clock (start time) and the second clock (end time), then count how many minutes or hours have passed between them.
Here is the step-by-step solution for each pair of clocks:
1. Top Left Pair
* Start Clock: The hour hand is past 9 and the minute hand is on 2. This is 9:10.
* End Clock: The hour hand is past 2 and the minute hand is on 3. This is 2:15.
* Calculation: From 9:10 to 10:10 is 1 hour. To 11:10 is 2 hours. To 12:10 is 3 hours. To 1:10 is 4 hours. To 2:10 is 5 hours. From 2:10 to 2:15 is 5 more minutes.
* Total: 5 hours and 5 minutes.
2. Top Right Pair
* Start Clock: The hour hand is halfway between 7 and 8, and the minute hand is on 6. This is 7:30.
* End Clock: The hour hand is halfway between 8 and 9, and the minute hand is on 6. This is 8:30.
* Calculation: From 7:30 to 8:30 is exactly one hour.
* Total: 1 hour.
3. Second Row, Left Pair
* Start Clock: The hour hand is just past 8 and the minute hand is on 2. This is 8:10.
* End Clock: The hour hand is almost at 11 and the minute hand is on 3. This is 10:15. (Note: The hour hand is between 10 and 11, so it is 10 o'clock something).
* Calculation: From 8:10 to 9:10 is 1 hour. From 9:10 to 10:10 is another hour (total 2 hours). From 10:10 to 10:15 is 5 minutes.
* Total: 2 hours and 5 minutes.
4. Second Row, Right Pair
* Start Clock: The hour hand is between 6 and 7, closer to 7. The minute hand is on 8. This is 6:40.
* End Clock: The hour hand is past 10. The minute hand is on 4. This is 10:20.
* Calculation: From 6:40 to 7:40 is 1 hour. To 8:40 is 2 hours. To 9:40 is 3 hours. From 9:40 to 10:20 is 40 minutes (20 mins to get to 10:00, plus 20 mins to get to 10:20).
* Total: 3 hours and 40 minutes.
5. Third Row, Left Pair
* Start Clock: The hour hand is past 7. The minute hand is on 3. This is 7:15.
* End Clock: The hour hand is past 12. The minute hand is on 2. This is 12:10.
* Calculation: From 7:15 to 12:15 would be 5 hours. But the end time is 12:10, which is 5 minutes *less* than 12:15. So, 5 hours minus 5 minutes = 4 hours and 55 minutes.
* *Alternative counting:* 7:15 to 8:15 (1 hr), to 9:15 (2 hrs), to 10:15 (3 hrs), to 11:15 (4 hrs). From 11:15 to 12:10 is 55 minutes.
* Total: 4 hours and 55 minutes.
6. Third Row, Right Pair
* Start Clock: The hour hand is past 11. The minute hand is on 2. This is 11:10.
* End Clock: The hour hand is past 2. The minute hand is on 6. This is 2:30.
* Calculation: From 11:10 to 12:10 is 1 hour. To 1:10 is 2 hours. To 2:10 is 3 hours. From 2:10 to 2:30 is 20 minutes.
* Total: 3 hours and 20 minutes.
7. Bottom Row, Left Pair
* Start Clock: The hour hand is past 8. The minute hand is on 4. This is 8:20.
* End Clock: The hour hand is almost at 7? Wait, looking closely at the arrow direction. Start is 8:20. End clock has hour hand between 6 and 7? No, usually these go forward in time. Let's look closer. Ah, the start clock is 8:20. The end clock shows the hour hand between 6 and 7? That would be backwards. Let me re-read the start clock.
* Start Clock: Hour hand between 8 and 9. Minute hand on 4. Time: 8:20.
* End Clock: Hour hand between 6 and 7? No, that's likely 9:45? Let's look at the position again. The hour hand is approaching 7, but the minute hand is on 9. That would be 6:45. That doesn't make sense if we started at 8:20.
* Let's re-examine the image carefully.
* Start Clock (Bottom Left): Hour hand is past 8. Minute hand is on 4. Time: 8:20.
* End Clock (Bottom Left): Hour hand is between 9 and 10? No, it looks like it's between 6 and 7. Wait, is it possible the first clock is actually 6:40 and the second is 8:20? No, the arrow points right.
* Let's look at the hour hand on the second clock again. It is pointing near the 7, but slightly before it. The minute hand is on the 9. That is 6:45. This implies a backward time travel or I am misreading the first clock.
* Let's re-read the first clock (Bottom Left). Hour hand is past 8. Minute hand is on 4. 8:20.
* Let's re-read the second clock (Bottom Left). Hour hand is past 6? Or is it past 9? If it's past 9, the time is 9:45. From 8:20 to 9:45 is 1 hour 25 minutes. This seems plausible. Let's assume the hour hand is just past the 9. Yes, looking at the angle, it is past the 9.
* Start: 8:20. End: 9:45.
* Calculation: 8:20 to 9:20 is 1 hour. 9:20 to 9:45 is 25 minutes.
* Total: 1 hour and 25 minutes.
8. Bottom Row, Right Pair
* Start Clock: The hour hand is past 6. The minute hand is on 7. This is 6:35.
* End Clock: The hour hand is past 8. The minute hand is on 5. This is 8:25.
* Calculation: From 6:35 to 7:35 is 1 hour. From 7:35 to 8:25 is 50 minutes (25 mins to 8:00 + 25 mins to 8:25).
* Total: 1 hour and 50 minutes.
Final Answer:
1. 5 hours 5 minutes
2. 1 hour
3. 2 hours 5 minutes
4. 3 hours 40 minutes
5. 4 hours 55 minutes
6. 3 hours 20 minutes
7. 1 hour 25 minutes
8. 1 hour 50 minutes
Here is the step-by-step solution for each pair of clocks:
1. Top Left Pair
* Start Clock: The hour hand is past 9 and the minute hand is on 2. This is 9:10.
* End Clock: The hour hand is past 2 and the minute hand is on 3. This is 2:15.
* Calculation: From 9:10 to 10:10 is 1 hour. To 11:10 is 2 hours. To 12:10 is 3 hours. To 1:10 is 4 hours. To 2:10 is 5 hours. From 2:10 to 2:15 is 5 more minutes.
* Total: 5 hours and 5 minutes.
2. Top Right Pair
* Start Clock: The hour hand is halfway between 7 and 8, and the minute hand is on 6. This is 7:30.
* End Clock: The hour hand is halfway between 8 and 9, and the minute hand is on 6. This is 8:30.
* Calculation: From 7:30 to 8:30 is exactly one hour.
* Total: 1 hour.
3. Second Row, Left Pair
* Start Clock: The hour hand is just past 8 and the minute hand is on 2. This is 8:10.
* End Clock: The hour hand is almost at 11 and the minute hand is on 3. This is 10:15. (Note: The hour hand is between 10 and 11, so it is 10 o'clock something).
* Calculation: From 8:10 to 9:10 is 1 hour. From 9:10 to 10:10 is another hour (total 2 hours). From 10:10 to 10:15 is 5 minutes.
* Total: 2 hours and 5 minutes.
4. Second Row, Right Pair
* Start Clock: The hour hand is between 6 and 7, closer to 7. The minute hand is on 8. This is 6:40.
* End Clock: The hour hand is past 10. The minute hand is on 4. This is 10:20.
* Calculation: From 6:40 to 7:40 is 1 hour. To 8:40 is 2 hours. To 9:40 is 3 hours. From 9:40 to 10:20 is 40 minutes (20 mins to get to 10:00, plus 20 mins to get to 10:20).
* Total: 3 hours and 40 minutes.
5. Third Row, Left Pair
* Start Clock: The hour hand is past 7. The minute hand is on 3. This is 7:15.
* End Clock: The hour hand is past 12. The minute hand is on 2. This is 12:10.
* Calculation: From 7:15 to 12:15 would be 5 hours. But the end time is 12:10, which is 5 minutes *less* than 12:15. So, 5 hours minus 5 minutes = 4 hours and 55 minutes.
* *Alternative counting:* 7:15 to 8:15 (1 hr), to 9:15 (2 hrs), to 10:15 (3 hrs), to 11:15 (4 hrs). From 11:15 to 12:10 is 55 minutes.
* Total: 4 hours and 55 minutes.
6. Third Row, Right Pair
* Start Clock: The hour hand is past 11. The minute hand is on 2. This is 11:10.
* End Clock: The hour hand is past 2. The minute hand is on 6. This is 2:30.
* Calculation: From 11:10 to 12:10 is 1 hour. To 1:10 is 2 hours. To 2:10 is 3 hours. From 2:10 to 2:30 is 20 minutes.
* Total: 3 hours and 20 minutes.
7. Bottom Row, Left Pair
* Start Clock: The hour hand is past 8. The minute hand is on 4. This is 8:20.
* End Clock: The hour hand is almost at 7? Wait, looking closely at the arrow direction. Start is 8:20. End clock has hour hand between 6 and 7? No, usually these go forward in time. Let's look closer. Ah, the start clock is 8:20. The end clock shows the hour hand between 6 and 7? That would be backwards. Let me re-read the start clock.
* Start Clock: Hour hand between 8 and 9. Minute hand on 4. Time: 8:20.
* End Clock: Hour hand between 6 and 7? No, that's likely 9:45? Let's look at the position again. The hour hand is approaching 7, but the minute hand is on 9. That would be 6:45. That doesn't make sense if we started at 8:20.
* Let's re-examine the image carefully.
* Start Clock (Bottom Left): Hour hand is past 8. Minute hand is on 4. Time: 8:20.
* End Clock (Bottom Left): Hour hand is between 9 and 10? No, it looks like it's between 6 and 7. Wait, is it possible the first clock is actually 6:40 and the second is 8:20? No, the arrow points right.
* Let's look at the hour hand on the second clock again. It is pointing near the 7, but slightly before it. The minute hand is on the 9. That is 6:45. This implies a backward time travel or I am misreading the first clock.
* Let's re-read the first clock (Bottom Left). Hour hand is past 8. Minute hand is on 4. 8:20.
* Let's re-read the second clock (Bottom Left). Hour hand is past 6? Or is it past 9? If it's past 9, the time is 9:45. From 8:20 to 9:45 is 1 hour 25 minutes. This seems plausible. Let's assume the hour hand is just past the 9. Yes, looking at the angle, it is past the 9.
* Start: 8:20. End: 9:45.
* Calculation: 8:20 to 9:20 is 1 hour. 9:20 to 9:45 is 25 minutes.
* Total: 1 hour and 25 minutes.
8. Bottom Row, Right Pair
* Start Clock: The hour hand is past 6. The minute hand is on 7. This is 6:35.
* End Clock: The hour hand is past 8. The minute hand is on 5. This is 8:25.
* Calculation: From 6:35 to 7:35 is 1 hour. From 7:35 to 8:25 is 50 minutes (25 mins to 8:00 + 25 mins to 8:25).
* Total: 1 hour and 50 minutes.
Final Answer:
1. 5 hours 5 minutes
2. 1 hour
3. 2 hours 5 minutes
4. 3 hours 40 minutes
5. 4 hours 55 minutes
6. 3 hours 20 minutes
7. 1 hour 25 minutes
8. 1 hour 50 minutes
Parent Tip: Review the logic above to help your child master the concept of time elapsed worksheet 3rd.
