Answer:
8 more men are needed to complete the job
Step-by-step explanation:
Proportions
This problem can be solved by step-by-step reasoning applying proportions:
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
More hours/day=less days to complete the job
We know this last time is 12 days, thus:
[tex]\displaystyle 12=\frac{14*9*16}{7*x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24[/tex]
24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job
