Question

What decimal of an hour is a second?

Answer 1

Decimal value of a second in an hour.

It is known that,

$\begin{array}{rcl}1\mathrm{hour}& =& 60\mathrm{minutes}\\ 1\mathrm{minute}& =& 60\mathrm{seconds}\end{array}$

Thus, one hour into seconds is,

$\begin{array}{rcl}1\mathrm{hour}& =& 60\times 60\\ & \Rightarrow & 1\mathrm{hour}=3600\mathrm{seconds}\end{array}$

Now, one second into hours is,

$\begin{array}{rcl}1\mathrm{second}& =& \frac{1}{3600}\mathrm{hours}\\ & \Rightarrow & 1\mathrm{second}=0.002777...\mathrm{hours}\\ & \Rightarrow & 1\mathrm{second}=0.002\overline{7}\mathrm{hours}\end{array}$

Therefore, the decimal value of a second in an hour is $0.002\overline{7}\mathrm{hours}$.