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work done by A in single day = $\frac{1}{9}$

work done by B in single day = $\frac{1}{12}$

now both works in alternate day, that means in 2 days total work can be done is $\frac{1}{9} + \frac{1}{12}$ _________________(1)

if both works in alternate day and work can be done in $x$ days than work done combinely in single day = $\frac{1}{x}$

so work done in 2 days = $\frac{2}{x}$ _______________________(2)

 

on comparing both $\frac{1}{9} + \frac{1}{12} = \frac{2}{x}$

$\therefore\text{ x = 10.28 days for combine work}$
Answer:

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