Answer
$108 \text{ cars}$
Work Step by Step
The variation model described by the problem is $
C=kwt
,$ where $C$ is the number of cars, $w$ is the number of workers, and $t$ is the time.
Substituting the known values of the variables results to
\begin{array}{l}\require{cancel}
60=k(200)(2)
\\\\
60=400k
\\\\
\dfrac{60}{400}=k
\\\\
k=0.15
.\end{array}
Hence, the equation of variation is
\begin{array}{l}\require{cancel}
C=0.15wt
.\end{array}
Using the variation equation above, then
\begin{array}{l}\require{cancel}
C=0.15wt
\\\\
C=0.15(240)(3)
\\\\
C=108
.\end{array}
Hence, the number of cars, $C,$ that will be produce is $
108 \text{ cars}
.$
