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Tick-Tick-Tick - Duration and Elapsed Time

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

The Clock Face: A clock is a circular tool with 1212 numbers written around its edge. It has three hands: the short 'Hour Hand', the long 'Minute Hand', and the thin, fast-moving 'Seconds Hand'. The distance between any two numbers on the clock represents 55 minutes for the minute hand and 11 hour for the hour hand.

Units of Time: Time is measured in units like seconds, minutes, and hours. 1texthour1 \\text{ hour} consists of 60textminutes60 \\text{ minutes}, and 1textminute1 \\text{ minute} consists of 60textseconds60 \\text{ seconds}. To convert hours into minutes, we multiply the number of hours by 6060. For example, 3texthours3 \\text{ hours} is 3times60=180textminutes3 \\times 60 = 180 \\text{ minutes}.

AM and PM: A full day has 2424 hours, divided into two halves of 1212 hours each. 'AM' (Ante Meridiem) starts from 12textmidnight12 \\text{ midnight} and goes until 12textnoon12 \\text{ noon}. 'PM' (Post Meridiem) starts from 12textnoon12 \\text{ noon} and goes until 12textmidnight12 \\text{ midnight}. 12:0012:00 during the day is called 'Noon' and 12:0012:00 at night is called 'Midnight'.

The 24-Hour Clock: This system, often used in railways, uses numbers from 00:0000:00 to 23:5923:59. To convert PM time to 24-hour format, we add 1212 to the hours (for example, 2:002:00 PM becomes 14:0014:00). To convert 24-hour time back to PM, we subtract 1212 from the hours.

Elapsed Time (Duration): This is the total time that passes during an activity. To calculate duration, we subtract the 'Start Time' from the 'End Time'. If the duration spans across AM and PM, it is helpful to convert both to the 24-hour format first (Duration=textEndTimetextStartTimeDuration = \\text{End Time} - \\text{Start Time}).

Calendar and Months: A year has 1212 months. Some months have 3131 days (January, March, May, July, August, October, December) and others have 3030 days (April, June, September, November). You can use the 'knuckle rule'—where knuckles represent 3131-day months and the gaps between them represent 3030-day months—to remember these lengths.

Leap Year: A standard year has 365365 days. A leap year occurs every 44 years and has 366366 days because February has 2929 days instead of 2828. If a year is divisible by 44 (like 20242024), it is usually a leap year.

Date Formats: Dates are commonly written in the DD/MM/YYYYDD/MM/YYYY format. For instance, the 10th of July 2023 is written as 10/07/202310/07/2023. The first two digits are the day, the next two are the month number, and the last four are the year.

📐Formulae

1texthour=60textminutes1 \\text{ hour} = 60 \\text{ minutes}

1textminute=60textseconds1 \\text{ minute} = 60 \\text{ seconds}

1textday=24texthours1 \\text{ day} = 24 \\text{ hours}

1textweek=7textdays1 \\text{ week} = 7 \\text{ days}

textDuration=textEndTimetextStartTime\\text{Duration} = \\text{End Time} - \\text{Start Time}

text24hourTime=text12hourPMTime+12\\text{24-hour Time} = \\text{12-hour PM Time} + 12

💡Examples

Problem 1:

Convert 44 hours and 4040 minutes into total minutes.

Solution:

Step 1: Convert the hours into minutes. Since 1texthour=60textminutes1 \\text{ hour} = 60 \\text{ minutes}, 4texthours=4times60=240textminutes4 \\text{ hours} = 4 \\times 60 = 240 \\text{ minutes}. \ Step 2: Add the remaining minutes: 240+40=280textminutes240 + 40 = 280 \\text{ minutes}.

Explanation:

To find the total minutes, we change the hour part by multiplying by 6060 and then add the minutes provided in the question.

Problem 2:

An exam started at 10:1510:15 AM and ended at 1:301:30 PM. What was the duration of the exam?

Solution:

Step 1: Convert to 24-hour format. Start Time = 10:1510:15. End Time = 1:30textPM=(1+12):30=13:301:30 \\text{ PM} = (1 + 12):30 = 13:30. \ Step 2: Subtract Start Time from End Time: 13:3010:1513:30 - 10:15. \ Step 3: Minutes: 3015=1530 - 15 = 15. Hours: 1310=313 - 10 = 3. \ Result: 3texthoursand15textminutes3 \\text{ hours and } 15 \\text{ minutes}.

Explanation:

Converting the times to a 24-hour format allows for easy subtraction. The difference between the start and end times gives the total duration.