Question

8 children and 12 men can complete a certain peice of work in 9 days. Ech child takes twice the timetaken by a man to finihs the work. In how many days will 12 men finish the same work

Answer 1

Answer:

Step-by-step explanation:

8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time by a man to finish the work. In how many days will 12 men finish the same work?

Given: 1 Man=2 Children

Means (8 Children+ 12 Men)=4+12=16 Men.

They do work in 9 days.

=>16 Men ~ 9 days

So,12 Men ~ 9×16/12 =12 days.Ans.

{ It can be thought in this way as well—

Since Men×days=Constant

=>16×9=12×x =>x=12 days

Hope it helps.

Answer 2

Answer : 12 days

Solution :
__________

Given that : 8 children + 12 men can complete a certain piece of work in 9 days.

Also given that : Each child takes twice the time taken by a man to finish the work.

It means : 1 man = 2 children

=> 1 child = 1/2 man

So, 8 children+12 men

=> 8×1/2 man + 12 men

=> 4 men + 12 men = 16 men

It means 16 men can complete the work in 9 days.

Now,

$16 \: men \: = 9 \: days \\ \\ = >16 \times \frac{3}{4} \: men = 9 \times \frac{4}{3} \: days \\ \\ = > 12 \: men = 12 \: days$

So, 12 men will finish the same work in 12 days.