**Subtracting Time**

Time tells us about the duration of a task or an event.

We measure time in hours, minutes, and seconds. There are 60 minutes in an hour and 60 seconds in a minute.

**Subtracting Hours and Minutes**

Here are the steps to subtract time (4 hours 45 minutes – 2 hours 20 minutes) given in hours and minutes.

**Step I:** Check if the minutes of the first time (4 hours 45 minutes) is less than the minutes of the second time (2hour 20 minutes). If that is the case then,

- Take one away from the hours of the first time.
- Add 60 to the minutes of the first time.

(Since 45 is not less than 20, we move on to the next step)

**Step II:** Subtract the minutes. (45 minutes – 20 minutes = 25 minutes)

**Step III:** Subtract the hours. (4 hours – 2 hours = 2 hours)

Hence, the resultant from Step II and Step III together is the answer (2hours 25minutes).

Example 1: Solve the following

- 7 hours 45 minutes – 6 hours and 15 minutes.
- 7 hours 15 minutes – 6 hours and 45 minutes

**Solution:**

A.

**Step I:** Since 45 is not less than 15, we move on to the next step

**Step II:** On taking away the minutes, we get, 45 minutes – 15 minutes 30 minutes

**Step III:** On taking away the hours, we get, 7 hours – 6 hours 1 hour

Hence, the answer is 1 hour and 30 minutes.

B.

**Step I:** Since 15 is less than 45, we take one away from the hours of the first time and add 60 to the minutes of the first time.

- 7 – 1 = 6 hour
- 15 + 60 = 75minutes

**Step II:** On taking away the minutes, we get, 75 minutes – 45 minutes 30 minutes

**Step III:** On taking away the hours, we get, 6 hours – 6 hours 0 hours

Hence, the answer is 0 hours 30 minutes or just 30 minutes.

**Clock**

A clock is a device we use to measure time. Time on a clock tells us when a certain event occurs or finishes.

For example, the clock shows a time of 7 a.m.

Given below is a clock, the bigger hand is the minute hand and the shorter hand is the hour hand. The red-colored hand is the second hand.

**Subtracting Clock Time**

Here are the steps to subtract two times of a clock (4:45 pm – 2:20 pm):

**Case I:** If both the times are either in am or in pm

**Step I:** Check if the minutes of the first time (2:45 pm) is less than the minutes of the second time (2:20 pm). If that is the case then

- Take one away from the hours of the first time.
- Add 60 to the minutes of the first time.

(Since 45 is not less than 20, we move on to the next step)

**Step II:** Subtract the minutes. (45 – 20 = 25 minutes)

**Step III:** Subtract the hours. (4 – 2 = 2 hours)

Hence, the resultant from Step II and Step III together is the answer (2 hours 25 minutes).

**Example 2:** Solve the following

A: 8:15 pm-6:45pm

**Solution: **

A. 8:15 pm-6:45pm

**Step I:** Since 15 is less than 45, we take one away from the hours of the first time and add 60 to the minutes of the first time.

8 – 1 = 7 hour

15 + 60 = 75 minutes

**Step II:** On taking away the minutes, we get, 75 minutes – 45 minutes 30 minutes

**Step III:** On taking away the hours, we get, 7 hours – 6 hours 1 hour

Hence, the answer is 1 hour and 30 minutes.

**Case II:** If one of the times is in am and the other is in pm (8:30 am – 2:10 pm), we will follow the below steps:

**Step I:** Take away hours of the first time (8:30 am) from 11 (11 – 8 = 3 hours) and also take away minutes of the first time from 60 (60 – 30 = 30 minutes).

**Step II:** Add hours obtained from Step I (3 hours) and hours of the second time (2:10 pm).

(3+2 = 5 hours)

**Step III:** Add minutes obtained from Step I (30 minutes) and minutes of the second time (2:10 pm).

(30 + 10 = 40minutes)

The answer to Step II and III together is our final answer (5 hours 40 minutes).

Example 3: Solve 10: 45 am – 2: 15 pm.

Solution:

Since one of the time is in am and the other time is in pm, steps of case II will be used.

**Step I:** On taking away hour and minutes of 10:45 am from 11 and 60 respectively, we get,

11 – 10 = 1 hour

60 – 45 = 15 minutes

**Step II:** On adding hours of 2:15 pm and hours obtained from step I, we get

1 + 2 = 3 hours

**Step III:** On adding minutes of 2:15 pm and minutes obtained from step I, we get,

15 + 15 = 30 min

Hence, the answer is 3 hours and 30 minutes.

Fun Fact– Every day we go from our past to the future through the present, which makes us time travelers. |