How many days will it take for 4 men to complete a job that 6 men can complete in 8 days, assuming equal work rate?

To determine how many days it will take for 4 men to complete a job that 6 men can complete in 8 days, we first need to calculate the total amount of work represented in man-days.

If 6 men can finish the job in 8 days, we can find the total work in man-days by multiplying the number of men by the number of days they work. Thus, the total work is:

Total Work = Number of Men × Number of Days = 6 men × 8 days = 48 man-days.

Now, we need to find out how many days it will take for 4 men to complete the same amount of work. To find this, we divide the total work by the number of men who will now be working:

Time = Total Work / Number of Men = 48 man-days / 4 men = 12 days.

This calculation shows that it will take 4 men 12 days to do the same amount of work that 6 men can complete in 8 days, assuming that all men work at the same rate.