Examples on Units of Time
Here are some of the solved questions on examples on units of time to get the idea to convert the units of time into seconds, minutes, hours, days, months and year.
Consider the following examples on units of time:
1. Convert the following:
(i) 7 days 6 hours into hours.
(ii) 6 hours 40 minutes into minutes.
(iii) 4 minutes 25 seconds into seconds.
Solution:
(i) 1 day = 24 hours
Therefore, 7 days 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 into months.
(ii) 4 months 10 days into days.
(iii) 7 weeks 6 days into days.
(iv) 1 year into 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 into days and hours.
(ii) 750 minutes into hours and minutes.
(iii) 900 seconds into minutes and seconds.
Solution:
(i) 24 hours = 1 day
Therefore, 800 hours = 800 ÷ 24 days
= 33 days 8 hours
(ii) 60 minutes = 1 hour
750 minutes = 750 ÷ 60 hours
= 12 hours 30 minutes
(iii) 60 seconds = 1 minute
Therefore, 900 seconds = (900 ÷ 60) minutes
= 15 minutes
4. Convert the following:
(i) 80 months into years and months.
(ii) 210 weeks into years and weeks.
(iii) 530 days into 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 into years and weeks.
(iii) 530 days into weeks and days.
Solution:
(i) 12 months = 1 year
80 months = (80 ÷ 12) years
= 6 years 6 months
(ii) 52 weeks = 1 year
210 weeks = 210 ÷ 52
= 4 years 2 weeks
(iii) 7 days = 1 week
530 days = 530 ÷ 7
= 75 weeks 5 days
5. Rose is 12 years 6 months old and Patty is 12 years 8 months old. What is their total age?
Solution:
Rose's age = 12 years 6 months
Patty's age = 12 years 8 months
Total of their ages = 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 9 months old. Find the difference between their ages.
Solution:
Years Months
Father's age 45 9
Ron's age 14 7
31 2
Difference in ages = 31 years 2 months
7. Victor left for school at 7:45 a.m. He came back home at 2:30 p.m.
Find the difference in time between his leaving and coming home.
Solution:
(i) 7:45 a.m. = 07:45 (24-hour clock time)
2:30 p.m. = 14:30 (24-hour clock time)
Difference 14:30 - 07:45
= 6:45, i.e., 6 hours 45 minutes
(ii) Time from 7:45 a.m. to noon = 12 - 7:45 = 4 hours 15 m
Time from 12 noon to 2:30 p.m. = 2 hour 30 minutes
Therefore, total time taken = 4 hours 15 minutes + 2 hour 30 minutes
= 6 hours 45 minutes
8. Shiva Ganga Express started from Varanasi at 18:45 hours and
reached New Delhi at 07:15 hours next day. How long has it taken to
cover the distance from Varanasi to New Delhi?
Solution:
Time taken from 18:45 to 24 midnight = 5 hours 15 minutes
Time taken from 24 midnight to 07:15 = 7 hours 15 minutes
Total time taken = 5 hours 15 minutes + 7 hours 15 minutes
= 12 hours 30 minutes
These are eight solved questions on examples on units of time which are explained here step-by-step.
Questions and Answers on Units of Time:
1. Convert the following days into hours.
(i) 5 days = __________ hours.
(ii) 8 days 12 hours = __________ hours.
(iii) 9 days 3 hours = __________ hours.
(iv) 24 days = __________ hours.
Answers:
(i) 120 hours.
(ii) 204 hours.
(iii) 219 hours.
(iv) 576 hours.
2. Convert the following hours into days.
(i) 96 hours = __________ days
(ii) 82 hours = __________ days
(iii) 125 hours = __________ days
(iv) 150 hours = __________ days
Answers:
(i) 4 days
(ii) 3 days 10 hours
(iii) 5 days 5 hours
(iv) 6 days 6 hours
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