Question

56 men can do a work in 42 days then how many men will do the same work in 14 days ​

Answer 1

Answer:

Answer:

168 men

Step-by-step explanation:

We are given that 56 men can do a piece of work in 42 days

1 man can do work in days = 56 \times 42=235256×42=2352

Let the number of men be x who completes work in 14 days

So,x men can do work in =14 days

So, Number of men required to do work in 14 days = \frac{2352}{14}

14

2352

= 168168

Hence 168 men can complete work in 14 days.

Answer 2

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , $\sf \dfrac{42\times\cancel{56}}{\cancel{14}}$ will do the work = 168 .

Hence 168 men will do the work in 14 days .

$\Large\boxed{\red{\bf Answer = 168 \:men}}$