Question

the time to complete a project varies inversely with the number of employees. if 3 people can complete the project in 7 days, how long will it take 5 people? t = 5 days t = 3 days t = 21 days t = 4.2 days

Explanation:

Step1: Define inverse variation formula

For inverse variation, $t = \frac{k}{n}$, where $t$ = time, $n$ = number of employees, $k$ = constant.

Step2: Solve for constant $k$

Substitute $t=7$, $n=3$:
$7 = \frac{k}{3} \implies k = 7 \times 3 = 21$

Step3: Find time for 5 employees

Substitute $k=21$, $n=5$:
$t = \frac{21}{5} = 4.2$

Answer:

t = 4.2 days