Reservoir A$,$ with a water surface level $75$ m above datum, supplies a junction box through a single pipe of diameter $250$ mm and length $1700$ m $.$ From the junction box, two additional pipes, each with a diameter of $250$ mm and length $1700$ m $,$ lead to reservoirs B and C$,$ whose water surface levels are $40$ m and $20$ m above datum, respectively.

If the friction factor $f=0\mathrm{.}01$ for all pipes, determine the discharges to reservoirs B and C in lit$/$s$.$ You may use Excel, MATLAB, or other computational solvers to solve this problem.