Question

Write an equation of variation to represent the situation and solve for the missing information The time to complete a project varies inversely with the number of employees. If 3 peoplecan complete the project in 7 days, how long will it take 5 people?

Answer 1

the relation between the days and number of employee is inverse relation,

so,

`D\propto(1)/(n)`

here D = days,

n = no. of employees.

`D=(k)/(n)`

put D = 3 and n = 7

`\begin{gathered} 3=(k)/(7) \\ k=21 \end{gathered}`

so for n = 5

`\begin{gathered} D=(k)/(5) \\ D=(21)/(5) \\ D=4.2\text{ days} \end{gathered}`

it will take 4.2 days if 5 people do it.