The water flowing through a $2\mathrm{.}0$ cm $($inside diameter$)$ pipe flows out through three $1\mathrm{.}3$ cm pipes. $($a$)$ If the flow rates in the three smaller pipes are $27,20,$ and $10$ L$/$min$,$ what is the flow rate in the $2\mathrm{.}0$ cm pipe?$($b$)$ What is the ratio of the speed of water in the $2\mathrm{.}0$ cm pipe to that in the pipe carrying $27$ L$/$min$?$