Convert the following into $24$ hour clock time:

$06:00\mathrm{}$a.m.

Convert the following into $24$-hour clock time.

$10:55 \mathrm{p}.\mathrm{m}.$

Convert from hours to minutes

$20$ hours $30$ minutes

If $1440 \mathrm{minutes}$ is equal to $k \mathrm{hours}$, find the value of $k$.