[tex]4\\[/tex] more workers are needed to do this job in 12 hours.
Given,
Three workers can do a job in 28 hours.
Let [tex]x[/tex] no. of worker needed.
workers 3 [tex]x[/tex]
time (hours) 28 12
The fewer workers there are the more the hours that are required,
and the more workers there are the fewer hours that are required.
Therefore workers and hours are inversely proportional.
So,
[tex]3 \times28=x \times12[/tex]
[tex]x=\frac{3 \times28}{12} \\\\x=7[/tex]
So, 7 workers can do that job in 12 hours.
Hence ([tex]7-3=4[/tex]) [tex]4[/tex] more workers needed to do this job in 12 hours.
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