Two rivers located $1,500m$ apart fully penetrate an aquifer with a $K$ value of $0\mathrm{.}01\frac{m}{?}$ day. The region received an average rainfall of $60c\frac{m}{y}r,$ and evaporation is $20c\frac{m}{y}r.$ Assume that the water elevation in River $1$ is $620m$ and the water elevation in River $2$ is $570m.$

$($a$)$ Determine the location and height of the water divide.

$($b$)$ What are the daily discharges per unit width into River $1$ and River $2($in $\frac{m^2}{?}$ day$)?$