Joseph left home at 9:57 AM and returned at 4:08 PM. Using two T-charts, one for hours and one for minutes, it is determined that the elapsed time was 6 hours and 11 minutes. Emma went to a movie starting at 1:17 PM lasting 2 hours and 56 minutes, so the movie ended at 4:13 PM. Jack took a road trip from 10:32 AM to 3:06 PM, and his trip time was calculated as 4 hours and 34 minutes using the T-chart method.

1. ELAPSED TIME
THE “2 T-CHARTS” METHOD

2. SAMPLE PROBLEM
JOSEPH LEFT HOME AT THE TIME SHOWN ON THE CLOCK
BELOW. HE RETURNED HOME AT 4:08 P.M. HOW LONG WAS HE
AWAY FROM HOME?
9:57 A.M.

3. SETTING UP THE PROBLEM
AFTER READING THE PROBLEM, IDENTIFY THE
INFORMATION YOU ARE GIVEN IN THE PROBLEM.
START TIME: 9:57 A.M.
END TIME: 4:08 P.M.
ELAPSED TIME: ???

4. CREATE 2 T-CHARTS
START TIME: 9:57 A.M.
END TIME: 4:08 P.M.
ELAPSED TIME: ???
*DRAW 2 T-CHARTS: ONE TO REPRESENT HOURS, THE OTHER
TO REPRESENT MINUTES.
HOURS MINUTES

5. FILL IN THE T-CHARTS
START TIME: 9:57 A.M. 1. ADD 1 HOUR AT A TIME. GET AS
END TIME: 4:08 P.M. CLOSE TO THE END TIME AS POSSIBLE
ELAPSED TIME: ??? WITHOUT GOING OVER!
START 9:57 HOURS MINUTES
TIME
10:57 1
11:57 1
12:57 1
1:57 1
2:57 1
3:57 1

6. FILL IN THE T-CHARTS
2. NOW ADD THE MINUTES. ADD 10
START TIME: 9:57 A.M. MINUTES AT A TIME TO SPEED UP THE
END TIME: 4:08 P.M. PROCESS. THEN, ADD THE NUMBER
ELAPSED TIME: ??? NEEDED TO ARRIVE AT THE END TIME.
9:57 HOURS 3:57 MINUTES
10:57 1 4:07 10
11:57 1 4:08 1
12:57 1
1:57 1
2:57 1
3:57 1

7. ADD UP THE HOURS AND MINUTES
START TIME: 9:57 A.M. 3. ADD UP THE HOURS AND MINUTES
END TIME: 4:08 P.M. FROM THE RIGHT SIDE OF THE T-CHART
ELAPSED TIME: ??? TO CALCULATE ELAPSED TIME.
9:57 HOURS
3:57 MINUTES
10:57 1 4:07 10
11:57 1 4:08 1
12:57 1
11 MINUTES
1:57 1
2:57 1
3:57 1 ELAPSED TIME= 6 HOURS AND 11 MIN.
6 HOURS

8. SAMPLE PROBLEM #2
EMMA WENT TO A MOVIE THAT
STARTED AT 1:17 P.M. IT WAS 2 HOURS
AND 56 MINUTES LONG. WHEN DID
THE MOVIE END?

9. SET UP THE T-CHARTS
START TIME: 1:17 P.M.
END TIME: ??
ELAPSED TIME: 2 HOURS AND 56 MINUTES
START
TIME 1:17
HOURS MINUTES

10. ADD THE HOURS
START TIME: 1:17 P.M.
END TIME: ??
ELAPSED TIME: 2 HOURS AND 56 MINUTES
START
TIME 1:17
HOURS MINUTES
2:17 1
3:17 1
1. ADD TWO
HOURS

11. ADD THE MINUTES
START TIME: 1:17 P.M.
END TIME: ??
ELAPSED TIME: 2 HOURS AND 56 MINUTES
1:17
HOURS 3:17 MINUTES
2:17 1 3:27 10
3:17 1 3:37 10
3:47 10
3:57 10
4:07 10
4:13 6 2. NOW ADD
THE MINUTES.

12. THE END TIME
START TIME: 1:17 P.M.
END TIME: ??
ELAPSED TIME: 2 HOURS AND 56 MINUTES
1:17 HOURS 3:17 MINUTES
2:17 1 3:27 10
3:17 1 3:37 10
3:47 10
3:57 10
4:07 10
4:13 6
THE END TIME = 4:13 P.M.

13. SAMPLE PROBLEM #3
JACK TOOK A RODE TRIP TO
FLAGSTAFF. HE LEFT HIS HOUSE AT
10:32 A.M. HE ARRIVED IN FLAGSTAFF
AT 3:06 P.M. HOW LONG WAS HIS TRIP?

14. SET UP THE T-CHARTS
START TIME: 10:32 A.M.
END TIME: 3:06 P.M.
ELAPSED TIME: ???
START
TIME 10:32
HOURS MINUTES

15. ADD THE HOURS
START TIME: 10:32 A.M.
END TIME: 3:06 P.M.
ELAPSED TIME: ???
10:32 HOURS MINUTES
11:32 1
12:32 1
1:32 1
2:32 1

16. ADD THE MINUTES
START TIME: 10:32 A.M.
END TIME: 3:06 P.M.
ELAPSED TIME: ???
10:32 HOURS 2:32 MINUTES
11:32 1 2:42 10
12:32 1 2:52 10
1:32 1 3:02 10
2:32 1 3:06 4

17. FIND THE TOTAL HRS. AND MINS.
START TIME: 10:32 A.M.
END TIME: 3:06 P.M.
ELAPSED TIME: ???
10:32 HOURS 2:32 MINUTES
11:32 1 2:42 10
12:32 1 2:52 10
1:32 1 3:02 10
2:32 1 3:06 4
4 34
ELAPSED TIME= 4 HOURS AND 34 MIN.