If 6 men can do a job in 14 days, how many fewer men would be needed if they were allowed 21 days for the job?

Solution:

We have a direct variation here. As the number of days increases, the number of men needed also would be less.

Let the work done by 6 men be

6 × 14 days = 84 units

Let the number of men required to finish a job be x.

x × 21 days = 84 units [since the same job is done]

x = 84/21

x = 4

If 6 men can do a job in 14 days, how many fewer men would be needed if they were allowed 21 days for the job?

Summary:

4 men would be needed if they were allowed 21 days for the job.