Cutting The Paper

Logic Level 3

Suppose that I cut a rectangular piece of paper in straight lines of equal length, parallel to one of the edges. If it took me $s$ seconds to cut a paper into $k$ pieces, how long will it take me to cut another paper into $4k$ pieces at the same rate?

Details and Assumptions:

A cut is defined to be the line from one edge to another.
Papers are clean and fresh as new!
$k \geq 2$ is a positive integer, and $s$ is a positive real number.

4s

\dfrac{s(4k-1)}{k-1}

\dfrac{4ks}{k-1}

\dfrac{s(4k-1)}{k}

It's impossible to say