Look at the calendar for January of a certain year. Answer the questions that follow.
a) How many weeks are there in January?
b) On what day of the week does 12 January fall?
C) Luke has a birthday on 25 January. On which day does it fall?
d) How much time passes from 1 January until 23 January?
e) How much time passes from 06:00 on 5 January until 14:00 on 7 January?
f) How much time passes from 07:13 on 12 January until 23:45 on 29 January?
The Correct Answer and Explanation is:
Let’s answer each of the questions based on the calendar for January of a typical year (e.g., 2024) and the provided information:
a) How many weeks are there in January?
January has 31 days. Since a week has 7 days, we can divide the 31 days by 7.
[
31 \div 7 = 4 \text{ full weeks with a remainder of 3 days.}
]
Thus, January has 4 full weeks and 3 extra days. So, there are 5 weeks in January.
b) On what day of the week does 12 January fall?
January 1, 2024, is a Monday. To find out which day of the week 12 January falls on, we count the days from January 1 to January 12.
Starting from January 1 (Monday):
- 1 January: Monday
- 2 January: Tuesday
- 3 January: Wednesday
- 4 January: Thursday
- 5 January: Friday
- 6 January: Saturday
- 7 January: Sunday
- 8 January: Monday
- 9 January: Tuesday
- 10 January: Wednesday
- 11 January: Thursday
- 12 January: Friday
Therefore, 12 January falls on a Friday.
c) Luke has a birthday on 25 January. On which day does it fall?
To find the day of the week for 25 January, we count the days from 1 January (Monday).
- 1 January: Monday
- 2 January: Tuesday
- 3 January: Wednesday
- 4 January: Thursday
- 5 January: Friday
- 6 January: Saturday
- 7 January: Sunday
- 8 January: Monday
- 9 January: Tuesday
- 10 January: Wednesday
- 11 January: Thursday
- 12 January: Friday
- 13 January: Saturday
- 14 January: Sunday
- 15 January: Monday
- 16 January: Tuesday
- 17 January: Wednesday
- 18 January: Thursday
- 19 January: Friday
- 20 January: Saturday
- 21 January: Sunday
- 22 January: Monday
- 23 January: Tuesday
- 24 January: Wednesday
- 25 January: Thursday
Thus, Luke’s birthday on 25 January falls on a Thursday.
d) How much time passes from 1 January until 23 January?
From 1 January to 23 January, we have the following:
- 1 January to 23 January is 23 days.
So, the time that passes from 1 January until 23 January is 23 days.
e) How much time passes from 06:00 on 5 January until 14:00 on 7 January?
We need to calculate the time between 06:00 on 5 January and 14:00 on 7 January.
- From 06:00 on 5 January to 06:00 on 7 January: 2 full days (48 hours).
- From 06:00 on 7 January to 14:00 on 7 January: 8 hours.
So, the total time passed is:
[
48 \text{ hours} + 8 \text{ hours} = 56 \text{ hours}.
]
Thus, the time that passes is 56 hours.
f) How much time passes from 07:13 on 12 January until 23:45 on 29 January?
To calculate the time from 07:13 on 12 January to 23:45 on 29 January, we break it into steps:
- From 07:13 on 12 January to 07:13 on 29 January is 17 days.
- From 07:13 on 29 January to 23:45 on 29 January is 16 hours and 32 minutes.
Now, calculate the total time passed:
- 17 days = ( 17 \times 24 = 408 ) hours.
- Adding the remaining 16 hours and 32 minutes: ( 408 + 16 = 424 ) hours and 32 minutes.
So, the time passed is 424 hours and 32 minutes.
Summary of Answers:
a) 5 weeks
b) Friday
c) Thursday
d) 23 days
e) 56 hours
f) 424 hours and 32 minutes
These calculations help us understand how to measure and compute time intervals and determine specific days of the week based on a given date.