# Date and Time Formulas in Mathematics

Time in terms of seconds, minutes, hours, days and weeks.

Minute

• 60 seconds

Hour:

• 3,600 seconds
• 60 minutes

Day:

• 86,400 seconds
• 1,440 minutes
• 24 hours

Week:

• 604,800 seconds
• 10,080 minutes
• 168 hours
• 7 days

## Equations for time

S: Second(s), M: Minute(s), H: Hour(s), D: Day(s), W: Week(s)

$$1S=\frac { 1 }{ 60 } M=\frac { 1 }{ 3,600 } H=\frac { 1 }{ 86,400 } D=\frac { 1 }{ 604,800 } W$$

$$1M=60S=\frac { 1 }{ 60 } H=\frac { 1 }{ 1,440 } D=\frac { 1 }{ 10,080 } W$$

$$1H=3,600S=60M=\frac { 1 }{ 24 } D=\frac { 1 }{ 168 } W$$

$$1D=86400S=1440M=24H=\frac { 1 }{ 7 } W$$

$$1W=604800S=10080M=168H=7D$$

## Months with 28 or 29  days

• February

(28 in an ordinary year and 29 when in a leap year. The last leap year occurred in the year 2020. Leap years occur every 4 years.)

Time components, 28 days:

• 2,419,200 seconds
• 40,320 minutes
• 672 hours

Time components, 29 days:

• 2,505,600 seconds
• 41,760 minutes
• 696 hours

## Months with 30 days

April, June, September and November.

Time components (30 days):

• 2,592,000 seconds
• 43,200 minutes
• 720 hours

## Months with 31 days

January, March, May, July, August, October and December.

Time components (31 days):

• 2,678,400 seconds
• 44,640 minutes
• 744 hours

## Time components for a 365 day year

• 31,536,000 seconds
• 525,600 minutes
• 8,760 hours
• 52 weeks + 1 day
• 12 months