Let Andrew be A and let Bailey be B
Andrew is 6 times as quick as Bailey
[tex]1a = 6b[/tex]
When they worked together, it took them 5 days to paint the house.
[tex]6b + 1b = 7b \\ 7b = 5days[/tex]
If Bailey worked alone, she would take a much longer time
[tex]5 \times 7 = 35days[/tex]
Since Andrew is 6 times as quick as Bailey,
[tex] \frac{(5 \times 7)}{6} = 5.8days[/tex]
Andrew would take about 5.8 days while Bailey would take 35 days.
