Introduction to Time Conversion
Time is defined as the duration in which all things happen, or a precise instant that something happens. An example of time is breakfast at eight o'clock in the morning. An example of time is a date at noon next Saturday. Two kinds of clocks are used to see the time. Analog clock and Digital clock.Analog clock has a minute hand,hour hand and sometimes a second hand also. Now, the digital clock on the left side shows the hours from 1 to 12 and the right side shows the minutes from 00 to 59.
Some useful terms A.M.(ante meridian; before midday) It is the time between midnight and noon. P.M.(post meridian: after midday) It is the time between noon and midnight.
Time on Clock
How Many Minutes Are in an Hour?
Seconds: Second is the basic unit of time. There are 60 seconds in 1 minute and 3,600 seconds in an hour.
Minutes: There are 60 minutes in an hour, that is why we use this value in the formula. 1 hr = 60 mins.
Hours: The hour is a period of time equal to $\dfrac{1}{24}$ of a day or 60 minutes. The hour is an SI-accepted unit for time for use with the metric system. Hours can be abbreviated as hr; for example, 1 hour can be written as 1 hr.
Units for Measuring Time
Some of the basic units of time are second, minute, hour, day, week, month, and year. We estimate time using different units depending on the span of time we are trying to measure.
Minute(min) 1min=60s
Hour (h) 1h=60 min
Day (d) 1d=24h
1 week = 7 days
1 month= 28 or 29 or 30 or 31 days
1 year= 12 months = 365 days or 366 days (leap year)
Below is the units of time chart:
Units of time chart
Now we will learn how we can convert days to hours and minutes.
How to Convert Days to Hours?
To convert days into hours, multiply the time by the conversion ratio.
Since one day is equal to 24 hours, you can use this simple formula to convert:
hours = days $\times$ 24
The time in hours is equal to the days multiplied by 24.
For example, here's how to convert 5 days to using the formula above.
5 day = (5 $\times$ 24) = 120 hr
1day = 24hrs
Formula of converting days to hours.
Example: 5 days in hours.
5 days = 5 $\times$ 1 day
Since, 1 day there is 24hrs.
Therefore, for 5 days, it will be
= 5 $\times$ 24 hrs
5 days = 120 hrs
How to Convert Hours Into Days?
To convert an hour measurement to a day measurement, divide the time by the conversion ratio.
1 hr = $\dfrac{1}{24}$ days
Here's how to convert 76 hrs to days using the formula above.
76 hrs = 76 $\times$ 1 hr
$= 76 \times \dfrac{1}{24}$ days
$= \dfrac{76}{24}$ days
= 3 days 4 hrs
How to Convert Hours to Minutes?
The rule for converting hours to minutes is very simple, just multiply the number of hours by 60 and you will get the time in minutes. For example, to convert 2 hours into minutes, multiply 2 by 60, and you will get 120 minutes.
Example:
Convert 6 hours into minutes.
We know, 1 hour = 60 minutes
Therefore, 6 hours = (6 $\times$ 60) minutes = 360 minutes.
How to Convert Minutes to Hours?
To convert minutes to hours and minutes,
use long division to divide the minutes by 60, answer quotients are the hours part the answer remainder is the minutes part.
Formula to convert minutes to hours.
Total minutes $\div 60=\mathrm{Q}$ hours and $\mathrm{R}$ minutes
Example: To show an example and how it works, let's say we want to convert 190 minutes to hours and minutes.
190 divided by 60 equals 3 with a remainder of 10.
The quotient Q = 3 and the remainder R = 10. So, 190 minutes = 3 hours and 10 minutes.
Solved Examples
Q 1. Write 1:23 pm in 24-hour format. Write 4:56 in 12-hour format.
Ans: If we add 12 hours i.e. 12.00 to a 12 hour format time only am pm will be the same then the result in 24-hour format.
Therefore, 1:23 + 12 = 13:23 in 24 hour format.
4:56 hours in 12 hour format = 4:56 am
Q 2. Convert 45 minutes into an hour.
Ans: We know,
60 minutes = 1 hour
or, 1 minute = $\dfrac{1}{60}$ hour
Therefore, 45 minutes = $\dfrac{45}{60}$ hour
= $\dfrac{3}{4}$ hour
Q 3. Convert 9 hours 35 minutes into minutes.
Ans: First, we convert 9 hours into minutes and then we add 35 minutes to it.
9 hours 35 minutes = (9 × 60) minutes + 35 minutes (1 hour = 60 minutes)
= 540 minutes + 35 minutes
= 575 minutes
Q 4. Convert 7 days 6 hours into hours.
Ans: 1 day = 24 hours
Therefore, 7 days 6 hour
= (7 x 24)hours+ 6 hours
= 168 hours ie 6 hours = 174 hours
Q 5. Convert 5 min 37 sec into seconds.
Ans: 1 min = 60 sec
Therefore, 5 min = 5 x 60 = 300 sec
5 min 37 sec = 300 sec + 37 sec = 337 seconds
Practice Questions
Q 1. Convert 180 minutes to hours.
Ans: 3 hours
Q 2. Convert 240 seconds into minutes.
Ans: 4 minutes
Q 3. A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?
Ans: 5 days
Q 4. School starts at 8:00 a.m. and closes at 12:45 a.m. How long does it work?
Ans: 4 hours 45 minutes.
Q 5. What time will it be: 6 hours 35 minutes after 11:10 am?
Ans: 5:45 pm
Summary
Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through present, and to the future. Time is used to quantify, measure or compare the duration of events or the intervals between them, and even, sequence events. Time can be represented in two formats: 24-hour format and 12-hour format. In 12-hour format, am stands for ‘ante meridiem’, which is Latin for ‘before midday’. pm stands for ‘post meridiem’, which is Latin for ‘after midday’.Comparison of 12-hour and 24-hour conventions of time.In this chapter we have studied about conversions of days and hours. Hope you all have understood the concept of time,for any queries ask in the comment section.
FAQs on How to Convert Hours Into Days?
1. What is the basic rule to convert hours into days?
To convert hours into days, you must divide the total number of hours by 24. This is because there are exactly 24 hours in one full day. The whole number part of your answer represents the full days, and any remainder represents the leftover hours.
2. How do you convert days back into hours?
To convert days into hours, you perform the opposite operation: multiply the number of days by 24. For example, to find out how many hours are in 3 days, you would calculate 3 × 24, which equals 72 hours.
3. How would you express 76 hours in terms of days and hours?
To convert 76 hours into days and hours, follow these steps:
- Divide the total hours by 24: 76 ÷ 24.
- Find the quotient and remainder: 24 goes into 76 three times (24 × 3 = 72), with a remainder of 4 (76 - 72 = 4).
- State the result: The quotient (3) is the number of full days, and the remainder (4) is the number of leftover hours. Therefore, 76 hours is equal to 3 days and 4 hours.
4. Why do we divide by 24 to convert hours to days?
We divide by 24 because the conversion is based on the fundamental relationship that 1 day is equivalent to 24 hours. Division is the mathematical operation used to determine how many times one number (the divisor, 24) is contained within another number (the total hours). So, dividing the total hours by 24 effectively groups them into sets of 24, where each complete set represents one full day.
5. What is the difference between converting hours to days and converting hours to minutes?
The key difference lies in the conversion factor and the mathematical operation used. When converting a smaller unit (hours) to a larger unit (days), you divide by the conversion factor (24). Conversely, when converting a larger unit (hours) to a smaller unit (minutes), you multiply by the conversion factor (60). This is because you are calculating how many of the smaller units fit into the larger one.
6. If a science project requires an experiment to run for 54 hours, how can you explain this duration in full days and remaining hours?
To express 54 hours in days and hours, you divide 54 by 24. The calculation is 54 ÷ 24 = 2 with a remainder of 6. This means the experiment will run for 2 full days and 6 hours. Communicating the time this way is often clearer than stating a large number of hours, as it provides a better sense of the overall duration.
7. What are the fundamental units of time used for everyday conversions, from seconds to days?
The basic units of time build upon each other. For everyday calculations as per the CBSE syllabus, the primary relationships are:
- 60 seconds make 1 minute.
- 60 minutes make 1 hour.
- 24 hours make 1 day.
Understanding these three core conversions allows you to move between seconds, minutes, hours, and days.
