Sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the same job in 12 days ?

Question

asked Aug 11, 2021 181k views

1 Answer

Nikolovski · Answer 1 · 2021-08-17T21:23:47+0000

Answer:

8 more men are needed to complete the job

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:

$\displaystyle 12=(14*9*16)/(7*x)$

Solving for x:

$\displaystyle x=(14*9*16)/(7*12)=(2016)/(84)=24$

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

8 more men are needed to complete the job