Given a = {1, 3, 5), b = {2, 4, 6) and c={1, 2, 3, 4, 5, 6), t
00
o (1,3,5}
o {1, 2, 3, 4, 5, 6}

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:

16 men working 9 hrs a day complete the job in 14 days16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

Solving for x:

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job