6 workers have to be on the team to finish the project A in 72 days
Step-by-step explanation:
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In any project, if x employees work for y days to finish the project, then
Project = x y
x and y are variables but the project is constant, so
In the same job, if z employees work for m days to finish it, then
Project = z m
∵ Project = Project
∴ x y = z m
Very important note:
This relation is called inverse variation, which means if the number of workers increases, then the number of days decreasesThe product of the 2 quantities (workers and the days) is constant
Let us use this rule in the question
∵ 18 workers will take 95 days to finish the project
∴ Project = 18 (95) = 1710
∵ x workers take 72 days to finish the same project
∴ Project = x (72)
→ Substitute the project by 1710
∴ 1710 = 72 x
Divide both sides by 72 to find x
∴ x = 23.75 ≈ 24
∵ x represents the number of workers
∴ 24 workers can finish the project in 72 days
∵ There are 18 workers already
∴ The number of workers needed = 24 - 18 = 6
∴ 6 workers have to be on the team to finish the project A in 72 days