Question

it would take me some time to discover someting about her looks (voice change)​

Answer 1

$\sf\textsf{Sometime would be taken by me to discover something about her looks.}$

$\huge\boxed \bigstar\sf\textsf{Concept Used:-}$

$\textbf{by}$ is always used by while changing a sentence into $\underline\textit{passive voice}$ form $\underline\textit{active voice.}$

Moreover $\star\textbf{would}$ changed to $\star\textbf{would be.}$