Question

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

Answer 1

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 \frac{42*\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}}`