8 janitors can clean the college grounds in 3 hours. how long will it take 6 janitors to clean the college grounds?
It would take 24 janitor-hours to do the job
so for 6 janitors it would take
24 janitor-hours/6janitors
= 4 hours, (the janitors would cancel)
To find out how long it will take 6 janitors to clean the college grounds, we can use the concept of man-hours.
Given that 8 janitors can clean the college grounds in 3 hours, we can calculate the total man-hours required to clean the college grounds.
For 8 janitors cleaning for 3 hours, the total man-hours would be 8 * 3 = 24 man-hours.
Now, we can use this information to find out how long it will take 6 janitors to clean the college grounds.
Let's assume it will take x hours for 6 janitors to clean the college grounds.
For 6 janitors, the total man-hours required would be 6 * x = 6x man-hours.
Since the total man-hours required to clean the college grounds remains the same, we can set up the equation:
6x = 24
To solve for x, we divide both sides of the equation by 6:
x = 24 / 6
x = 4
Therefore, it will take 6 janitors 4 hours to clean the college grounds.