If Jackie were to paint her living room alone, it would take 8 hours. Her sister Patricia could do the job in 9 hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.
Accepted Solution
A:
Answer:(72/17) hoursStep-by-step explanation:Time Jackie would take alone , J = 8 hrsTime Patricia would take alone , P = 9 hrsLet the time they will take together be Tuse the formula for shared unit rate[tex]\frac{1}{T}[/tex] = [tex]\frac{1}{J}[/tex] + [tex]\frac{1}{P}[/tex][tex]\frac{1}{T}[/tex] = [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{9}[/tex][tex]\frac{1}{T}[/tex] = [tex]\frac{17}{72}[/tex]T = [tex]\frac{72}{17}[/tex] hours (or 4.24 hours)