Answer:
x = 9 hours.
Step-by-step explanation:
Let x be the number of hours for the experienced crew to paint the apartment.
Given:
Experienced crew rate = [tex]\frac{1}{x}[/tex]
New crew rate = [tex]\frac{1}{2x}[/tex]
Combined rate = [tex]\frac{1}{6}[/tex]
Solution:
Both crews can paint the apartment in 6 hours. So, painting rate of the both crews is written as:
[tex]\frac{1}{x}+\frac{1}{2x} =\frac{1}{6}[/tex]
Multiply by 6x both side of the equation.
[tex]\frac{6x}{x}+\frac{6x}{2x} =\frac{6x}{6}[/tex]
[tex]6+3=x[/tex]
x = 9 hours.
Therefore, the experienced crew would paint the apartment in 9 hours.
