9 men dig a farm for 5 days.How many days will 6 men take into finish the same farm?
9 * 5 = 45 man-days
... like man-hours, only longer
45 man-days / 6 men = ?
2/3 as many men, so 3/2 as much time.
To find out how many days it will take 6 men to finish the same farm, we can use the concept of man-days of work. Man-days of work represents the total amount of work done by a person in one day.
Given that 9 men can complete the farm in 5 days, we can calculate the total man-days of work required to complete the farm.
Total man-days of work = (Number of men) * (Number of days)
Total man-days of work = 9 * 5
Total man-days of work = 45
Now, we can calculate how many days it will take 6 men to complete the same farm by dividing the total man-days of work by the number of men.
Number of days = Total man-days of work / Number of men
Number of days = 45 / 6
Number of days = 7.5
Therefore, it will take 6 men approximately 7.5 days to finish the same farm. Since we cannot have half a day, we can round up to the nearest whole number, so it will take 6 men around 8 days to finish the farm.