A 220 V DC series motor draws full-load line current of $38\ \text{A}$ at the rated speed of 600 rpm. The motor has armature resistance of $0.4\ \Omega$ and the series field resistance is $0.2\ \Omega$. The brush voltage drop irrespective of load is 3.0 volts, find:
a) The speed of the motor when the load current drops to $19\ \text{A}$.
b) The speed on removal of load when the motor takes only $1\ \text{A}$ from the supply.