The average age of children in Class $V I I$ is $12 y e a r s a n d 3 m o n t h s$ . Express this age in seconds.

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Solution

Step 1: Convert into days
Given, $12 y e a r s 3 m o n t h s$
We know that,
$1 y e a r = 365 d a y s$ and $1 m o n t h = 30 d a y s$
So,
$12 y e a r s = 12 \times 365 = 4380 d a y s 3 m o n t h s = 3 \times 30 = 90 d a y s$
Adding together we get,
$\begin{array}{rcl} 12 y e a r s 3 m o n t h s & = & 4380 + 90 \\ = & 4470 d a y s \end{array}$
Step 2: Convert into seconds
We also know that,
$\begin{array}{rcl} 1 d a y & = & 24 h r \\ 1 h r & = & 60 m i n \\ 1 m i n & = & 60 s e c \end{array}$
So,
$\begin{array}{rcl} 4470 d a y s & = & (4470 \times 24 \times 60 \times 60) s e c \\ = & 386208000 s e c \end{array}$
Hence, $12 y e a r s 3 m o n t h s = 386208000 s e c$

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The average age of children in Class $V I I$ is $12 y e a r s a n d 3 m o n t h s$ . Express this age in seconds.