# 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