Elapsed time: The amount of time that passes between a start time and an end time. Formula: End Time - Start Time = Elapsed Time
- Identify the start time and end time
- Count the hours first (from 12:00 PM to 12:00 PM = 0 hours)
- Count the remaining minutes (from 12:00 PM to 12:30 PM = 30 minutes)
- Add the hours and minutes together
Start: 12:00 PM, End: 12:30 PM
From 12:00 PM to 12:00 PM = 0 hours
From 12:00 PM to 12:30 PM = 30 minutes
0 hours + 30 minutes = 30 minutes
Tom ate lunch for 30 minutes
• Elapsed Time Formula: End Time - Start Time = Elapsed Time
• Time Counting: Count hours first, then remaining minutes
• Time Conversion: Remember 60 minutes = 1 hour
End Time Calculation: When given start time and duration, add the duration to the start time. Formula: Start Time + Duration = End Time
Start: 3:00 PM, Duration: 1 hour
3:00 PM + 1 hour = 4:00 PM
From 3:00 PM to 4:00 PM = 1 hour ✓
The movie ended at 4:00 PM
• End Time Formula: Start Time + Duration = End Time
• Time Addition: Add hours first, then minutes
• Hour Overflow: If minutes exceed 60, convert to hours
Start Time Calculation: When given end time and duration, subtract the duration from the end time. Formula: End Time - Duration = Start Time
End: 4:00 PM, Duration: 1 hour
4:00 PM - 1 hour = 3:00 PM
From 3:00 PM to 4:00 PM = 1 hour ✓
The soccer game started at 3:00 PM
• Start Time Formula: End Time - Duration = Start Time
• Time Subtraction: Subtract hours first, then minutes
• Borrowing Hours: If minutes go negative, borrow 1 hour = 60 minutes
Elapsed Time: The total amount of time that passes between a start time and an end time
Start Time: When an event begins
End Time: When an event finishes
Duration: How long an event lasts
12-Hour Clock: Time system using AM (ante meridiem) and PM (post meridiem)
- Read the problem carefully and identify what is being asked
- Identify the known values (start time, end time, or duration)
- Choose the correct formula based on what you need to find
- Perform the calculation (addition or subtraction)
- Check your answer by verifying with the original values
• 60 seconds = 1 minute
• 60 minutes = 1 hour
• 24 hours = 1 day
• 7 days = 1 week
• 12 months = 1 year
Half Hour Intervals: When calculating time that spans half-hour intervals (30 minutes), you can count by 30s.
Start: 10:00 AM, End: 10:30 AM
From 10:00 AM to 10:00 AM = 0 hours
From 10:00 AM to 10:30 AM = 30 minutes
0 hours + 30 minutes = 30 minutes
10:00 AM + 30 minutes = 10:30 AM ✓
The music class lasted 30 minutes
• Half Hour Counting: Count in 30-minute intervals
• Verification: Always check by adding back
• Time Recognition: Know common intervals (15 min, 30 min, 45 min)
Quarter Hour Intervals: When calculating time that spans quarter-hour intervals (15 minutes), you can count by 15s.
Start: 2:00 PM, Duration: 15 minutes
2:00 PM + 15 minutes = 2:15 PM
From 2:00 PM to 2:15 PM = 15 minutes ✓
Story time ended at 2:15 PM
• Quarter Hour Counting: Count in 15-minute intervals
• Time Addition: Add minutes directly when under 60
• Time Recognition: Know common intervals (15 min, 30 min, 45 min)
Elapsed Time: The total time that passes between a start time and an end time
Duration: How long an activity or event lasts
Time Interval: The difference between two times
12-Hour Clock: Time format using AM (morning) and PM (afternoon/evening)
- Analyze the problem: Determine what is being asked (start, end, or duration)
- Identify known values: Extract start time, end time, and/or duration from the problem
- Select the appropriate operation: Addition for finding end time, subtraction for others
- Perform calculations: Handle hours and minutes separately
- Verify the result: Check by substituting back into the relationship
• Finding End Time: Start Time + Duration = End Time
• Finding Start Time: End Time - Duration = Start Time
• Finding Duration: End Time - Start Time = Duration
• Time Conversion: 60 minutes = 1 hour, 60 seconds = 1 minute
• Common Intervals: 15 minutes (quarter hour), 30 minutes (half hour), 45 minutes
Questions & Answers
Question: I get confused when the minutes in the end time are smaller than the minutes in the start time. How do I solve 4:15 to 5:05?
Answer: Great question! This happens often with elapsed time. Here's how to handle 4:15 to 5:05:
- You can't subtract 15 minutes from 5 minutes, so you need to borrow.
- Think of 5:05 as 4:65 (since 1 hour = 60 minutes, so 5:05 = 4:65)
- Now subtract: 4:65 - 4:15 = 50 minutes
Alternative method: Count forward from 4:15 to 5:05
- From 4:15 to 4:60 (or 5:00) = 45 minutes
- From 5:00 to 5:05 = 5 minutes
- Total: 45 + 5 = 50 minutes
Both methods give you the same answer: 50 minutes!
Question: How do I know whether to add or subtract when solving elapsed time problems?
Answer: It depends on what you're trying to find:
- If you have Start Time + Duration = ?, then ADD to find the End Time
- If you have End Time - Duration = ?, then SUBTRACT to find the Start Time
- If you have End Time - Start Time = ?, then SUBTRACT to find the Duration
Think of it like this:
- "How long?" → Find duration → Subtract (End - Start)
- "What time did it start?" → Find start → Subtract (End - Duration)
- "What time did it end?" → Find end → Add (Start + Duration)
Always ask yourself: "What am I looking for?" to decide the operation.
Question: I have trouble with problems that go past midnight. How do I solve these?
Answer: Problems crossing midnight can be tricky! Here's the best approach:
Example: From 10:30 PM to 6:15 AM
- Step 1: Count from start time to midnight
- 10:30 PM to 12:00 AM = 1 hour 30 minutes
- Step 2: Count from midnight to end time
- 12:00 AM to 6:15 AM = 6 hours 15 minutes
- Step 3: Add both periods together
- 1 hour 30 minutes + 6 hours 15 minutes = 7 hours 45 minutes
Remember: The day changes at midnight, so break the problem into two parts. This makes it much easier to handle!
Visual tip: Draw a timeline that shows the midnight break to help organize your thinking.