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,

$D\propto\frac{1}{n}$

here D = days,

n = no. of employees.

$D=\frac{k}{n}$

put D = 3 and n = 7

$\begin{gathered} 3=\frac{k}{7} \\ k=21 \end{gathered}$

so for n = 5

$\begin{gathered} D=\frac{k}{5} \\ D=\frac{21}{5} \\ D=4.2\text{ days} \end{gathered}$

it will take 4.2 days if 5 people do it.