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LL.4 Find the elapsed times

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What is elapsed time?

Elapsed time is the amount of time that passes from the start of an activity to the end of that activity.

Example:
  • If you start reading at 3:00 P.M. and finish at 4:30 P.M., the elapsed time is 1 hour and 30 minutes.
Note

Elapsed time is like a stopwatch that measures how long something lasts. It answers the question, “How much time went by?”

How to find elapsed time on a clock

You can find elapsed time by counting forward from the start time to the end time.

Steps:
  • Start at 2:15 P.M.
  • Count hours to 3:15 P.M. → 1 hour
  • The minutes are the same (15), so no extra minutes are added.
  • The elapsed time is 1 hour.
Tip

It often helps to first count the full hours, then count the extra minutes separately.

Using a number line to find elapsed time

A time number line is a helpful tool to count hours and minutes between two times.

Example from 8:20 A.M. to 10:45 A.M.:
  • Draw a line from 8:20 to 10:45.
  • From 8:20 to 10:20 is 2 hours.
  • From 10:20 to 10:45 is 25 minutes.
  • Add them together: 2 hours + 25 minutes = 2 hours 25 minutes.
Remember

When you "jump" on a number line, jump by hours first, then by minutes.

Finding elapsed time across A.M. and P.M.

When a start time is in the morning (A.M.) and the end time is in the afternoon (P.M.), you need to account for noon.

Example from 11:10 A.M. to 2:30 P.M.:
  • First, find time from 11:10 A.M. to 12:00 P.M. → 50 minutes.
  • Next, find time from 12:00 P.M. to 2:30 P.M. → 2 hours 30 minutes.
  • Add: 50 minutes + 2 hours 30 minutes = 3 hours 20 minutes.
Key Point

Noon (12:00 P.M.) is a helpful halfway point. Find the time to noon first, then the time from noon.

Common patterns in elapsed time

Some time problems have patterns that make them easier to solve.

Patterns to look for:
  • Same Minutes: If minutes are the same (3:15 to 5:15), just subtract the hours. (5 - 3 = 2 hours)
  • To the Next Hour: From 4:40 to 5:00 is always 20 minutes (60 - 40 = 20).
  • Half Hours: From 1:30 to 3:30 is exactly 2 hours.
Strategy

Before you calculate, check the times for patterns. They can help you solve the problem faster and more accurately.