Elapsed time: The amount of time that passes between a start time and an end time.
- Identify the start time and end time
- Subtract the start time from the end time
- Handle borrowing when necessary
- Express the result in hours and minutes
Start time: 2:10 PM
End time: 2:45 PM
End minutes - Start minutes: 45 - 10 = 35 minutes
End hours - Start hours: 2 - 2 = 0 hours
Tom read for 35 minutes.
• Same hour: When start and end times are in the same hour, subtract minutes directly
• Verification: Add elapsed time to start time to check if you get end time
Borrowing in elapsed time: When the minutes of the start time are greater than the minutes of the end time, borrow 1 hour (60 minutes) from the hour column.
Start time: 6:55 AM
End time: 7:20 AM
End minutes (20) < Start minutes (55), so borrowing is needed
End time 7:20 becomes 6:80 (7 hours - 1 hour = 6 hours, 20 minutes + 60 minutes = 80 minutes)
Minutes: 80 - 55 = 25 minutes
Hours: 6 - 6 = 0 hours
Lisa jogged for 25 minutes.
• Borrowing rule: When end minutes < start minutes, borrow 1 hour = 60 minutes
• Conversion: 1 hour = 60 minutes
Multi-hour elapsed time: When the end time is in a different hour than the start time, subtract hours and minutes separately.
Start time: 7:30 AM
End time: 9:15 AM
End minutes (15) < Start minutes (30), so borrowing is needed
End time 9:15 becomes 8:75 (9 hours - 1 hour = 8 hours, 15 minutes + 60 minutes = 75 minutes)
Minutes: 75 - 30 = 45 minutes
Hours: 8 - 7 = 1 hour
The bus ride was 1 hour and 45 minutes.
• Multi-hour subtraction: Handle hours and minutes separately
• Borrowing across hours: Same principle as single hour borrowing
Elapsed time: The amount of time that passes between a start time and an end time
Start time: The time when an event begins
End time: The time when an event finishes
Borrowing: Taking 1 hour (60 minutes) from the hour column when minutes need to be borrowed
- Identify start and end times: Locate them in the problem
- Check for borrowing: If end minutes < start minutes, borrow 1 hour
- Perform subtraction: Subtract minutes and hours separately
- Combine results: Express as hours and minutes
- Verify answer: Add elapsed time to start time to check end time
• Always identify start and end times first
• Check if end minutes < start minutes (borrowing needed)
• When borrowing: reduce hours by 1, add 60 to minutes
• Subtract hours and minutes separately
Advanced elapsed time: Calculating elapsed time across multiple hours with borrowing.
Start time: 6:45 PM
End time: 9:20 PM
End minutes (20) < Start minutes (45), so borrowing is needed
End time 9:20 becomes 8:80 (9 hours - 1 hour = 8 hours, 20 minutes + 60 minutes = 80 minutes)
Minutes: 80 - 45 = 35 minutes
Hours: 8 - 6 = 2 hours
Start time + Elapsed time: 6:45 + 2:35 = 8:80 = 9:20 ✓
The movie was 2 hours and 35 minutes long.
• Multi-hour borrowing: Same principle as single hour borrowing
• Verification: Add elapsed time to start time to confirm end time
Crossing AM/PM boundary: When elapsed time spans from AM to PM (or vice versa).
Start time: 10:35 AM
End time: 2:15 PM
Start time: 10:35 (AM)
End time: 2:15 PM = 14:15 (add 12 hours)
End minutes (15) < Start minutes (35), so borrowing is needed
End time 14:15 becomes 13:75 (14 hours - 1 hour = 13 hours, 15 minutes + 60 minutes = 75 minutes)
Minutes: 75 - 35 = 40 minutes
Hours: 13 - 10 = 3 hours
Start time + Elapsed time: 10:35 + 3:40 = 13:75 = 14:15 = 2:15 PM ✓
The field trip lasted 3 hours and 40 minutes.
• AM/PM conversion: Convert to 24-hour format for easier calculation
• Borrowing across AM/PM: Same principle as within same period
Elapsed time: The amount of time that passes between a start time and an end time
Start time: The time when an event begins
End time: The time when an event finishes
Borrowing: Taking 1 hour (60 minutes) from the hour column when minutes need to be borrowed
24-hour format: Converting AM/PM times to 0-23 hour format for easier calculation
- Identify start and end times: Locate them in the problem
- Check for borrowing: If end minutes < start minutes, borrow 1 hour
- Perform subtraction: Subtract minutes and hours separately
- Combine results: Express as hours and minutes
- Verify answer: Add elapsed time to start time to check end time
• Basic formula: Elapsed time = End time - Start time
• Borrowing rule: When end minutes < start minutes, borrow 1 hour (60 minutes)
• Same hour: Subtract minutes directly when in same hour
• Conversion: 1 hour = 60 minutes
• Verification: Start time + Elapsed time = End time
Questions & Answers
Question: Why do I need to borrow when doing elapsed time subtraction?
Answer: You need to borrow when the minutes of your start time are greater than the minutes of your end time. For example, if you're going from 2:15 to 3:05:
- You can't subtract 15 from 5 (5 - 15 doesn't work)
- So you borrow 1 hour from the hour column (3:05 becomes 2:65)
- Now you can subtract: 65 - 15 = 50 minutes, and 2 - 2 = 0 hours
- The answer is 50 minutes
Borrowing makes the subtraction possible, just like in regular math!
Question: How can I help my child prepare for an elapsed time test?
Answer: Here are effective strategies to help your child prepare:
- Practice with real analog clocks to show how time progresses visually
- Work through problems step-by-step: identify start/end times, check for borrowing, calculate
- Focus on the borrowing concept: emphasize that 1 hour = 60 minutes
- Create daily schedule charts to make the concept practical
- Use timed practice tests to build confidence
Consistent practice and visual aids make the concept more memorable!
Question: What if I have to subtract across AM and PM? Like from 11:45 AM to 1:15 PM?
Answer: For times that cross AM/PM, it's often easier to convert to 24-hour format:
- 11:45 AM stays 11:45
- 1:15 PM becomes 13:15 (add 12 hours)
- Now subtract: 13:15 - 11:45
- Since 15 < 45, borrow: 13:15 becomes 12:75
- Subtract: 75 - 45 = 30 minutes, 12 - 11 = 1 hour
- Answer: 1 hour and 30 minutes
Converting to 24-hour format eliminates the AM/PM complexity!