Haryana Police Constable Model Paper 7

X completes a work in $11$ days
Y completes a work in $66$ days
X’s 1 day work = $\left(\frac{1}{11}\right)$
Y’s 1 day work $=\left(\frac{1}{66}\right)$
Work done by X and Y in 1 day $=\left(\frac{1}{11}\right)+\left(\frac{1}{66}\right)$
$\Rightarrow \frac{\left(6+1\right)}{66}$
$\Rightarrow \frac{7}{66}$
$\therefore \frac{66}{7}$ days are required if X and Y works together.