8 men can build a house in 6 months how long will it take 12 men tovdo the same job working at the same rate?

1 answer

the time taken would be inversely proportional to the number of men, that is , the men we have working the less time it takes.

t = k/m
k = tm
given: 8 men take 6 months
k = 6x8 = 48

when m = 12
t = 48/12 = 4

or

number of "man-months" = 48
time for 12 men = 48/12 = 4 months