Let x be the number of days it will take the two pump to empty the pool together
[tex](\frac{1}{2}+\frac{1}{11})\times x=1[/tex][tex](\frac{11+2}{22})\times x=1[/tex][tex]\frac{13}{22}x=1[/tex]Multiply both-side by 22/13
[tex]x=\frac{22}{13}[/tex][tex]=1.6923[/tex]