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

Question

3 years ago

11

same job in 12 days ?

1 answer:

nordsb [41] · Answer 1 · 2022-03-27T14:03:15+03:00

Answer:

<em>8 more men are needed to complete the job</em>

Step-by-step explanation:

<u>Proportions</u>

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:

$\displaystyle 12=\frac{14*9*16}{7*x}$

Solving for x:

$\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24$

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

8 more men are needed to complete the job