is described by $,,$ and where is pressure $($force$/$area$),$ is flow rate $($volume$/$time$)$ and is an equivalent resistance. The unit of is $,$ is and R is $.$

Write a function FlowInPipes that solves $,$ and given $,$ and and all the pipes have the same resistance $.$ Ex: $,$ and and all the pipes have a resistance of $,$ then:

P$0=600000$; P$2=170000$; P$3=96000$; R$=10000000$; $[$Qa$,$Qb$,$Qc$,$P$1]=$ FlowInPipes$($ P$0,$ P$2,$ P$3,$ R$)$

Qa $=$

$0\mathrm{.}0311$

Qb $=$

$0\mathrm{.}0119$

Qc $=$

$0\mathrm{.}0193$

P$1=$

$2\mathrm{.}8867$e$+05$