Here are some of the solved questions on examples of time units to get the idea to convert the time units to seconds, minutes, hours, days, months, and years.

Consider the following examples of time units:

1. Convert the following:

(i) 7 days 6 hours in hours.

(ii) 6 hours 40 minutes in minutes.

(iii) 4 minutes 25 seconds in seconds.

Solution:

(i) 1 day = 24 hours

Therefore 7 days are 6 hours = (7 x 24) hours + 6 hours

= 168 hours + 6 hours

= 174 hours


(ii) 1 hour = 60 minutes

Therefore 6 hours + 40 minutes = (6 x 60) minutes + 40 minutes

= (360 + 40) minutes

= 400 minutes

(iii) 1 minute = 60 seconds

Therefore 4 minutes 25 seconds = (4 x 60) seconds + 25 seconds

= (240 + 25) seconds

= 265 seconds

2. Convert the following:

(i) 5 years 9 months in months.

(ii) 4 months 10 days to days.

(iii) 7 weeks 6 days to days.

(iv) 1 year in seconds.

Solution:

(i) 1 year = 12 months

Therefore 5 years 9 months = (5 x 12) months + 9 months

= (60 + 9) months = 69 months

(ii) 1 month = 30 days

Therefore 4 months 10 days = (4 x 30) + 10 days

= 120 + 10 = 130 days

(iii) 1 week = 7 days

Therefore 7 weeks 6 days = (7 x 7) days + 6 days

= (49 + 6) days = 55 days

(iv) 1 year = 365 days, 1 day = 24 hours, 1 hour = 60 minutes

1 minute = 60 seconds

Therefore 1 year = 365 x 24 x 60 x 60 = 31536000 seconds

3. Convert the following:

(i) 800 hours in days and hours.

(ii) 750 minutes in hours and minutes.

(iii) 900 seconds in minutes and seconds.

Solution:

(i) 24 hours = 1 day

Therefore, 800 hours = 800 × 24 days

= 33 days 8 hours

Examples of time units

(ii) 60 minutes = 1 hour

750 minutes = 750 ÷ 60 hours

= 12 hours 30 minutes

Examples of time units

(iii) 60 seconds = 1 minute

Therefore 900 seconds = (900 to 60) minutes

= 15 minutes

Examples of time units

4. Convert the following:

(i) 80 months into years and months.

(ii) 210 weeks in years and weeks.

(iii) 530 days in weeks and days.

Solution:

(i) 12 months = 1 year

80 months = (80 ÷ 12) years

= 6 years 6 months

(i) 80 months into years and months.

(ii) 210 weeks in years and weeks.

(iii) 530 days in weeks and days.

Solution:

(i) 12 months = 1 year

80 months = (80 ÷ 12) years

= 6 years 6 months

Examples of time units

(ii) 52 weeks = 1 year

210 weeks = 210 ÷ 52

= 4 years 2 weeks

Examples of time units

(iii) 7 days = 1 week

530 days = 530 ÷ 7

= 75 weeks 5 days

Examples of time units

5. Rose is 12 years 6 months old and Patty is 12 years 8 months old. How old are they in total?

Solution:

Roses age = 12 years 6 months

Patty’s age = 12 years 8 months
Total age = 24 years 14 months

= 24 years 1 year 2 months

= 25 years 2 months

6. Ron is 14 years 7 months old. His father is 45 years old and 9 months old. Find the difference between their ages.

Solution:

Years Months

Father’s age 45 9

Ron’s age 14 7
31 2

Age difference = 31 years 2 months

7. Victor went to school at 7:45 am. He came home at 2:30 p.m. Find the time difference between his departure and his return home.

Solution:

(i) 7.45 a.m. = 7.45 a.m. (24-hour time)

2:30 p.m. = 2:30 p.m. (24-hour time)

Difference 14:30 – 07:45

= 6:45, i.e. 6 hours 45 minutes

(ii) Time from 7.45 a.m. to 12 p.m. = 12 p.m. – 7.45 a.m. = 4 hours 15 m

Time from 12:00 p.m. to 2:30 p.m. = 2 hours 30 minutes

Therefore the total time is 4 hours 15 minutes + 2 hours 30 minutes

= 6 hours 45 minutes

8. The Shiva Ganga Express left Varanasi at 6:45 pm and reached New Delhi at 7:15 am the next day. How long did it take to get from Varanasi to New Delhi?

Solution:

Time from 6:45 p.m. to midnight = 5 hours 15 minutes

Time from 24 midnight to 7:15 am = 7 hours 15 minutes

Total duration = 5 hours 15 minutes + 7 hours 15 minutes

= 12 hours 30 minutes

These are eight solved questions on examples of time units that are explained here step by step.

Questions and answers about time units:

1. Convert the following days to hours.

(i) 5 days = __________ hours.

(ii) 8 days 12 hours = __________ hours.

(iii) 9 days 3 hours = __________ hours.

(iv) 24 days = __________ hours.

Reply:

(i) 120 hours.

(ii) 204 hours.

(iii) 219 hours.

(iv) 576 hours.

2. Convert the following hours to days.

(i) 96 hours = __________ days

(ii) 82 hours = __________ days

(iii) 125 hours = __________ days

(iv) 150 hours = __________ days

Reply:

(i) 4 days

(ii) 3 days 10 hours

(iii) 5 days 5 hours

(iv) 6 days 6 hours

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