Mada za sehemu hiiUse number and time relationship skills in various contextsMada 2
- Convert between the components of measures of time (seconds to hours)
- Addition and subtraction of time
Addition and Subtraction of Time
When we add or subtract time, we work with hours and minutes. Just like adding and subtracting ordinary numbers, but we must remember that 60 minutes make 1 hour. This skill helps us plan our daily activities, know when to arrive at school, and calculate how long journeys take.
When the minutes add up to less than 60, we simply add the minutes together and the hours together.
Steps to Add Time
- Add the minutes first
- Add the hours next
- Write the answer in hours and minutes
Worked Example
A pupil spends 2 hours 25 minutes doing homework and 3 hours 15 minutes reading. What is the total time spent?
| hours | minutes | |
|---|---|---|
| Homework | 2 | 25 |
| Reading | + 3 | 15 |
| Total | 5 | 40 |
So, the pupil spends 5 hours 40 minutes in total.
When the minutes add up to 60 or more, we must convert the extra minutes into hours.
Steps to Add With Regrouping
- Add the minutes
- If minutes are 60 or more, divide by 60 to get extra hours
- Write the remaining minutes
- Add the extra hours to the hours column
- Write the final answer
Worked Example
A bus journey takes 3 hours 45 minutes, then another 4 hours 35 minutes. What is the total travel time?
| hours | minutes | |
|---|---|---|
| First journey | 3 | 45 |
| Second journey | + 4 | 35 |
| 7 | 80 |
80 minutes = 1 hour 20 minutes
| hours | minutes | |
|---|---|---|
| 7 | 80 | |
| Convert: 80 ÷ 60 = 1 hour 20 min | +1 | −60 |
| Total | 8 | 20 |
The bus travels for 8 hours 20 minutes in total.
When the minutes in the second time are not more than the minutes in the first time, we subtract directly.
Steps to Subtract Time
- Subtract the minutes first
- Subtract the hours next
- Write the answer in hours and minutes
Worked Example
A film started at 6:25 pm and ended at 5:15 pm. How long was the film?
| hours | minutes | |
|---|---|---|
| End time | 6 | 25 |
| Start time | − 5 | 15 |
| Duration | 1 | 10 |
The film lasted 1 hour 10 minutes.
When the minutes we need to subtract are more than the minutes we have, we must borrow 1 hour from the hours column.
Steps to Subtract With Regrouping
- Check if minutes to subtract are more than minutes we have
- If yes, take 1 hour (60 minutes) from the hours
- Add 60 to the minutes
- Subtract the minutes
- Subtract the hours (remember to reduce the hours by 1)
- Write the answer
Worked Example
A lesson started at 3:15 pm and ended at 1:45 pm. How long did the lesson last?
| hours | minutes | |
|---|---|---|
| End time | 3 | 15 |
| Start time | − 1 | 45 |
We cannot subtract 45 from 15, so we borrow 1 hour:
| hours | minutes | |
|---|---|---|
| 2 | 75 | |
| − 1 | 45 | |
| Duration | 1 | 30 |
The lesson lasted 1 hour 30 minutes.
Example 1: Adding Times
Amina washes clothes for 1 hour 20 minutes and sweeps the house for 1 hour 35 minutes. How much time does she spend on both activities?
| hours | minutes | |
|---|---|---|
| Washing clothes | 1 | 20 |
| Sweeping | + 1 | 35 |
| Total | 2 | 55 |
Amina spends 2 hours 55 minutes on both activities.
Example 2: Finding Duration
A train leaves Tanga at 06:00 and arrives in Dodoma at 17:45. How long does the journey take?
| hours | minutes | |
|---|---|---|
| Arrival | 17 | 45 |
| Departure | − 6 | 00 |
| Duration | 11 | 45 |
The journey takes 11 hours 45 minutes.
- 60 minutes = 1 hour
- When adding time: if minutes are 60 or more, convert to hours
- When subtracting time: if minutes are not enough, borrow 1 hour (60 minutes) from the hours column
- Always write answers in hours and minutes
In Tanzania, this skill is very useful when travelling by bus. For example, if a bus leaves Dar es Salaam at 8:00 in the morning and the journey to Morogoro takes 3 hours 45 minutes, a student can calculate that the bus will arrive at 11:45 am. This helps in planning when to wait at the bus station and when to inform family members about arrival times.
Swali
What is the sum of 2 hours 25 minutes and 3 hours 15 minutes?
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