10 men can build a house in 6 months, how many men would it take to build the house in 4 months?
it takes 60 man-months to build the house
so in 4 months it would take 60/4 or 15 men to build the house
or , the time taken is inversely proportional to the men used
m = k (1/t)
if t = 6, m = 10
10 = k(1/10)
k = 60
m = 60/t
so if t = 4, m = 60/4 = 15
notice the calculation steps are the same
thank you
To find out how many men would be needed to build the house in 4 months instead of 6, we can use a concept of man-months.
Given that 10 men can build the house in 6 months, we can think of it as 10 men working for 6 months. This means they would collectively work for a total of 10 (men) x 6 (months) = 60 man-months.
Now, we need to determine how many men would be required to complete the same amount of work in 4 months. Assuming the amount of work remains the same, we can set up a proportion:
10 (men) x 6 (months) = X (men) x 4 (months)
Simplifying the proportion:
60 = 4X
Now solve for X by dividing both sides of the equation by 4:
X = 60 / 4
X = 15
Therefore, it would require 15 men to build the house in 4 months instead of 6 months.