Q:

The time it takes to wash all the windows on a large building with(x) varies inversely with the number of workers assigned to the job x. It takes 6 hours to complete the job when 4 workers are assigned to it. Which equation can be used to find the time to complete the job when x workers are assigned to it?

Accepted Solution

A:
Answer:The time to complete the job is given by the expression below:[tex]T = \frac{24}{x}[/tex]Where T = time it takes to wash all the windows             x = the number of workers assigned to the jobStep-by-step explanation:The proportionality can be represented below as:T ∝ [tex]\frac{1}{x}[/tex]T = [tex]\frac{K}{x}[/tex] -------------------- Equation 1Where K is the constant of proportionalityConsidering the given instance,When T = 6, x = 46 = [tex]\frac{K}{4}[/tex]K = 4 × 6K = 24Substituting the value of K into Equation 1,T = [tex]\frac{24}{x}[/tex]