A two$-$pipe network in parallel connects points A and B where the flow is from A to B$.$ Point B is $30$ ft above point A and the total flow rate to be moved from A to B is $20$ ft$3/$s of water at $72$ oF$.$ Path $1$ between points A and B is $2000$ ft long and has an internal diameter of $1$ ft while path $2$ is $1500$ ft long and has an internal diameter of $1\mathrm{.}5$ ft$.$ All pipes are made of wrought iron. If the pressure at point A is $100$ psi and neglecting minor losses, determine: a$.$ The flow rate in each branch $[$ft$3/$s$].$ b$.$ The pressure at point B $[$psi$].$