Water flows in the parallel pipe system

shown and the following data apply:

A: $D=4$ in$.,L=1000$ ft$.,C=100$

B: $D=6$ in$.,L=800$ ft$.,C=120$

C: $D=8$ in$.,L=2000ft.,C=140$

$D$&$E$:$D=12$ in$.(18$ points$)$

The flow rate in $D$ and $E$ is $7\mathrm{.}86cfs.$

a$)$ What are $Q_A,Q_B,$&$Q_C?$ Neglect minor losses.

b$)$ What is the head loss in pipes $A,B$&$C?$

c$)$ If $D$&$E$ are at the same elevation, what is the

pressure difference in psi between $D$&$E?$