4. find out how much time has elapsed between ...
a) 9:40 and 12:10.
time elapsed: ______
20 min
9:40 , 10:00 , 11:00 , 12:00 , 12:10
b) 6:55 and 11:20.
time elapsed: ______
5 min
6:55 , 7:00 , ______ , ______ , ______ , ______ , 11:20
5. find how much time has elapsed by subtracting the times.
a) \begin{array}{r}3:43\\- 3:20\\\hline\end{array}
b) \begin{array}{r}8:22\\- 7:21\\\hline\end{array}
c) \begin{array}{r}11:48\\- 5:30\\\hline\end{array}
d) \begin{array}{r}6:40\\- 2:25\\\hline\end{array}
e) \begin{array}{r}3:42\\- 1:05\\\hline\end{array}
6. draw a timeline to find out how much time has elapsed between ...
a) 11:20 and 4:35.
b) 11:35 and 1:05.
c) 12:30 and 2:05.
karl started studying at 7:25 and finished at 9:10. how long did he study?

Question

Accepted Answer

### Part 4a
# Explanation:
## Step1: Time from 9:40 to 10:00
From 9:40 to 10:00, the minutes elapsed are $60 - 40 = 20$ minutes (as given).
## Step2: Time from 10:00 to 11:00
From 10:00 to 11:00, 1 hour (60 minutes) elapses.
## Step3: Time from 11:00 to 12:00
From 11:00 to 12:00, another 1 hour (60 minutes) elapses.
## Step4: Time from 12:00 to 12:10
From 12:00 to 12:10, 10 minutes elapse.
## Step5: Total elapsed time
Now, sum up the time intervals: 20 minutes + 60 minutes + 60 minutes + 10 minutes. First, convert hours to minutes: 60 minutes (1 hour) + 60 minutes (1 hour) = 120 minutes. Then add 20 + 120 + 10 = 150 minutes. Convert 150 minutes to hours and minutes: $150\div60 = 2$ hours with a remainder of $30$ minutes. So total elapsed time is 2 hours 30 minutes.
# Answer:
2 hours 30 minutes

### Part 4b
# Explanation:
## Step1: Time from 6:55 to 7:00
From 6:55 to 7:00, 5 minutes elapse (as given).
## Step2: Time from 7:00 to 8:00
From 7:00 to 8:00, 1 hour (60 minutes) elapses.
## Step3: Time from 8:00 to 9:00
From 8:00 to 9:00, 1 hour (60 minutes) elapses.
## Step4: Time from 9:00 to 10:00
From 9:00 to 10:00, 1 hour (60 minutes) elapses.
## Step5: Time from 10:00 to 11:00
From 10:00 to 11:00, 1 hour (60 minutes) elapses.
## Step6: Time from 11:00 to 11:20
From 11:00 to 11:20, 20 minutes elapse.
## Step7: Total elapsed time
Sum the intervals: 5 minutes + 60 + 60 + 60 + 20 minutes. Convert hours (each 60 minutes) to hours: there are 3 intervals of 60 minutes (from 7:00 - 10:00, that's 3 hours) and then 5 + 20 = 25 minutes. Wait, no: from 7:00 to 11:00 is 4 hours? Wait, 7:00 to 8:00 (1h), 8:00 - 9:00 (1h), 9:00 - 10:00 (1h), 10:00 - 11:00 (1h) → 4 hours. Then 5 minutes (6:55 -7:00) + 4 hours + 20 minutes (11:00 -11:20). Convert 4 hours to minutes: $4	imes60 = 240$ minutes. Then total minutes: 5 + 240 + 20 = 265 minutes. Convert to hours and minutes: $265\div60 = 4$ hours with remainder $25$ minutes. Wait, no, let's re - calculate:

From 6:55 to 7:00: 5 min

7:00 to 11:00: 4 hours (since 11 - 7 = 4)

11:00 to 11:20: 20 min

Total time: 4 hours + 5 min + 20 min = 4 hours 25 minutes.
# Answer:
4 hours 25 minutes

### Part 5a
# Explanation:
## Step1: Subtract minutes
Subtract the minutes: $43 - 20 = 23$ minutes.
## Step2: Subtract hours
Subtract the hours: $3 - 3 = 0$ hours.
# Answer:
23 minutes

### Part 5b
# Explanation:
## Step1: Subtract minutes
Subtract the minutes: $22 - 21 = 1$ minute.
## Step2: Subtract hours
Subtract the hours: $8 - 7 = 1$ hour.
# Answer:
1 hour 1 minute

### Part 5c
# Explanation:
## Step1: Subtract minutes
Subtract the minutes: $48 - 30 = 18$ minutes.
## Step2: Subtract hours
Subtract the hours: $11 - 5 = 6$ hours.
# Answer:
6 hours 18 minutes

### Part 5d
# Explanation:
## Step1: Subtract minutes
Since $40<25$, we borrow 1 hour (60 minutes) from the hours place. So $40 + 60 = 100$ minutes. Then $100 - 25 = 75$ minutes. But 75 minutes is 1 hour and 15 minutes. Wait, no, wait: original time is 6:40, we borrow 1 hour (so 6 becomes 5) and add 60 to 40: $5: (40 + 60)=5:100$. Now subtract 2:25. Minutes: $100 - 25 = 75$ minutes = 1 hour 15 minutes. Hours: $5 - 2 = 3$ hours. Then total time: $3 + 1 = 4$ hours? Wait, no, I made a mistake. Wait, the correct way:

To subtract 2:25 from 6:40.

Minutes: 40 - 25 = 15 minutes (wait, 40 is more than 25, so no borrowing needed). Hours: 6 - 2 = 4 hours. Wait, that's wrong? Wait 6:40 - 2:25. 6 - 2 = 4 hours, 40 - 25 = 15 minutes. So total time is 4 hours 15 minutes. Wait, my initial borrowing was wrong. Let's check: 2:25 + 4:15 = 6:40. Yes, that's correct. So:

## Step1: Subtract minutes
$40 - 25 = 15$ minutes.
## Step2: Subtract hours
$6 - 2 = 4$ hours.
# Answer:
4 hours 15 minutes

### Part 5e
# Explanation:
## Step1: Subtract minutes
Since $42<05$, we borrow 1 hour (60 minutes) from the hours place. So $42+60 = 102$ minutes. Then $102 - 5 = 97$ minutes? Wait, no, 3:42 - 1:05.

Borrow 1 hour from 3 hours, so 3 becomes 2, and 42 becomes $42 + 60 = 102$ minutes.

Minutes: $102 - 5 = 97$ minutes? No, that's not right. Wait, 3:42 is 3 hours and 42 minutes, 1:05 is 1 hour and 5 minutes.

Subtract hours: 3 - 1 = 2 hours, but we need to borrow because 42 < 5? No, 42 minutes is more than 5 minutes. Wait, 42 - 5 = 37 minutes. Hours: 3 - 1 = 2 hours. Wait, 1:05 + 2:37 = 3:42. Yes! So:

## Step1: Subtract minutes
$42 - 5 = 37$ minutes.
## Step2: Subtract hours
$3 - 1 = 2$ hours.
# Answer:
2 hours 37 minutes

### Karl's Study Time
# Explanation:
## Step1: Subtract minutes
From 7:25 to 9:10. Subtract minutes: $10 - 25$. Since $10<25$, borrow 1 hour (60 minutes) from the 9 hours, so 9 becomes 8, and 10 becomes $10 + 60 = 70$ minutes. Then $70 - 25 = 45$ minutes.
## Step2: Subtract hours
Subtract hours: $8 - 7 = 1$ hour.
# Answer:
1 hour 45 minutes

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QUESTION IMAGE

Question

Explanation:

Part 4a

Step1: Time from 9:40 to 10:00

Step2: Time from 10:00 to 11:00

Step3: Time from 11:00 to 12:00

Step4: Time from 12:00 to 12:10

Step5: Total elapsed time

Step1: Time from 6:55 to 7:00

Step2: Time from 7:00 to 8:00

Step3: Time from 8:00 to 9:00

Step4: Time from 9:00 to 10:00

Step5: Time from 10:00 to 11:00

Step6: Time from 11:00 to 11:20

Step7: Total elapsed time

Step1: Subtract minutes

Step2: Subtract hours

Answer:

Part 4b